Merge branch 'master' of ssh://gitlab.hasufell.de:22022/hasufell/quantumcrypto
This commit is contained in:
commit
a1bd81b2f2
@ -40,13 +40,6 @@
|
|||||||
#include <fmpz.h>
|
#include <fmpz.h>
|
||||||
|
|
||||||
|
|
||||||
/*
|
|
||||||
* static function declaration
|
|
||||||
*/
|
|
||||||
static char *get_int_to_bin_str(uint8_t value);
|
|
||||||
static char *get_bin_arr_to_ascii(char *binary_rep);
|
|
||||||
|
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Convert an integer to it's binary representation
|
* Convert an integer to it's binary representation
|
||||||
* as a string and return it.
|
* as a string and return it.
|
||||||
@ -54,7 +47,25 @@ static char *get_bin_arr_to_ascii(char *binary_rep);
|
|||||||
* @param value the integer to convert
|
* @param value the integer to convert
|
||||||
* @return the binary representation as a newly allocated string
|
* @return the binary representation as a newly allocated string
|
||||||
*/
|
*/
|
||||||
static char *get_int_to_bin_str(uint8_t value)
|
static char *
|
||||||
|
get_int_to_bin_str(uint8_t value);
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Converts a binary representation of multiple concatenated
|
||||||
|
* integers to the corresponding array of ascii chars, which
|
||||||
|
* is NULL-terminated.
|
||||||
|
*
|
||||||
|
* @param binary_rep the binary representation of multiple
|
||||||
|
* integers concatenated
|
||||||
|
* @return NULL-terminated array of corresponding ascii-chars,
|
||||||
|
* newly allocated
|
||||||
|
*/
|
||||||
|
static char *
|
||||||
|
get_bin_arr_to_ascii(char *binary_rep);
|
||||||
|
|
||||||
|
|
||||||
|
static char *
|
||||||
|
get_int_to_bin_str(uint8_t value)
|
||||||
{
|
{
|
||||||
int i;
|
int i;
|
||||||
const size_t bin_string_size = ASCII_BITS + 1;
|
const size_t bin_string_size = ASCII_BITS + 1;
|
||||||
@ -70,19 +81,10 @@ static char *get_int_to_bin_str(uint8_t value)
|
|||||||
return bin_string;
|
return bin_string;
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
static char *
|
||||||
* Converts a binary representation of multiple concatenated
|
get_bin_arr_to_ascii(char *binary_rep)
|
||||||
* integers to the corresponding array of ascii chars, which
|
|
||||||
* is NULL-terminated.
|
|
||||||
*
|
|
||||||
* @param binary_rep the binary representation of multiple
|
|
||||||
* integers concatenated
|
|
||||||
* @return NULL-terminated array of corresponding ascii-chars,
|
|
||||||
* newly allocated
|
|
||||||
*/
|
|
||||||
static char *get_bin_arr_to_ascii(char *binary_rep)
|
|
||||||
{
|
{
|
||||||
const size_t int_arr_size = strlen(binary_rep) / 8;
|
const size_t int_arr_size = strlen(binary_rep) / ASCII_BITS;
|
||||||
uint8_t int_arr[int_arr_size];
|
uint8_t int_arr[int_arr_size];
|
||||||
char *tmp_string = binary_rep;
|
char *tmp_string = binary_rep;
|
||||||
uint32_t i = 0;
|
uint32_t i = 0;
|
||||||
@ -109,19 +111,13 @@ static char *get_bin_arr_to_ascii(char *binary_rep)
|
|||||||
return int_string;
|
return int_string;
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
fmpz_poly_t **
|
||||||
* Convert an ascii string to an array of polyomials.
|
ascii_to_poly(char *to_poly, ntru_context *ctx)
|
||||||
*
|
|
||||||
* @param to_poly the string to get into polynomial format
|
|
||||||
* @param ctx the NTRUEncrypt context
|
|
||||||
* @return newly allocated array of polynomials
|
|
||||||
*/
|
|
||||||
fmpz_poly_t **ascii_to_poly(char *to_poly, ntru_context *ctx)
|
|
||||||
{
|
{
|
||||||
uint32_t i = 0,
|
uint32_t i = 0,
|
||||||
polyc = 0;
|
polyc = 0;
|
||||||
char *cur = to_poly;
|
char *cur = to_poly;
|
||||||
size_t out_size = CHAR_SIZE * (strlen(to_poly) * 8 + 1);
|
size_t out_size = CHAR_SIZE * (strlen(to_poly) * ASCII_BITS + 1);
|
||||||
char *out = ntru_malloc(out_size);
|
char *out = ntru_malloc(out_size);
|
||||||
fmpz_poly_t **poly_array;
|
fmpz_poly_t **poly_array;
|
||||||
|
|
||||||
@ -159,14 +155,8 @@ fmpz_poly_t **ascii_to_poly(char *to_poly, ntru_context *ctx)
|
|||||||
return poly_array;
|
return poly_array;
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
char *
|
||||||
* Convert an array of polynomials back to a real string.
|
poly_to_ascii(fmpz_poly_t **poly_array, ntru_context *ctx)
|
||||||
*
|
|
||||||
* @param poly_array the array of polynomials
|
|
||||||
* @param ctx the NTRUEncrypt context
|
|
||||||
* @return the real string
|
|
||||||
*/
|
|
||||||
char *poly_to_ascii(fmpz_poly_t **poly_array, ntru_context *ctx)
|
|
||||||
{
|
{
|
||||||
fmpz_poly_t *ascii_poly;
|
fmpz_poly_t *ascii_poly;
|
||||||
char *binary_rep = NULL;
|
char *binary_rep = NULL;
|
||||||
|
@ -35,8 +35,25 @@
|
|||||||
#include <fmpz.h>
|
#include <fmpz.h>
|
||||||
|
|
||||||
|
|
||||||
fmpz_poly_t **ascii_to_poly(char *to_poly, ntru_context *ctx);
|
/**
|
||||||
char *poly_to_ascii(fmpz_poly_t **poly_array, ntru_context *ctx);
|
* Convert an ascii string to an array of polyomials.
|
||||||
|
*
|
||||||
|
* @param to_poly the string to get into polynomial format
|
||||||
|
* @param ctx the NTRUEncrypt context
|
||||||
|
* @return newly allocated array of polynomials
|
||||||
|
*/
|
||||||
|
fmpz_poly_t **
|
||||||
|
ascii_to_poly(char *to_poly, ntru_context *ctx);
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Convert an array of polynomials back to a real string.
|
||||||
|
*
|
||||||
|
* @param poly_array the array of polynomials
|
||||||
|
* @param ctx the NTRUEncrypt context
|
||||||
|
* @return the real string
|
||||||
|
*/
|
||||||
|
char *
|
||||||
|
poly_to_ascii(fmpz_poly_t **poly_array, ntru_context *ctx);
|
||||||
|
|
||||||
|
|
||||||
#endif /* NTRU_ASCII_POLY_H_ */
|
#endif /* NTRU_ASCII_POLY_H_ */
|
||||||
|
@ -29,6 +29,10 @@
|
|||||||
#ifndef NTRU_CONTEXT_H
|
#ifndef NTRU_CONTEXT_H
|
||||||
#define NTRU_CONTEXT_H
|
#define NTRU_CONTEXT_H
|
||||||
|
|
||||||
|
|
||||||
|
#include <stdint.h>
|
||||||
|
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* NTRU cryptosystem is specified by
|
* NTRU cryptosystem is specified by
|
||||||
* the following triple.
|
* the following triple.
|
||||||
@ -38,15 +42,15 @@ typedef struct {
|
|||||||
* maximal degree N - 1 for
|
* maximal degree N - 1 for
|
||||||
* all polynomials
|
* all polynomials
|
||||||
*/
|
*/
|
||||||
unsigned int N;
|
uint32_t N;
|
||||||
/**
|
/**
|
||||||
* large modulus
|
* large modulus
|
||||||
*/
|
*/
|
||||||
unsigned int q;
|
uint32_t q;
|
||||||
/**
|
/**
|
||||||
* small modulus
|
* small modulus
|
||||||
*/
|
*/
|
||||||
unsigned int p;
|
uint32_t p;
|
||||||
} ntru_context;
|
} ntru_context;
|
||||||
|
|
||||||
#endif /* NTRU_CONTEXT_H */
|
#endif /* NTRU_CONTEXT_H */
|
||||||
|
@ -32,19 +32,8 @@
|
|||||||
#include <fmpz.h>
|
#include <fmpz.h>
|
||||||
|
|
||||||
|
|
||||||
/**
|
void
|
||||||
* Decryption of the given Polynom with the private key, its inverse
|
ntru_decrypt_poly(
|
||||||
* and the fitting ntru_context
|
|
||||||
*
|
|
||||||
* @param encr_msg encrypted polynom with maximum length of N from
|
|
||||||
* the given context
|
|
||||||
* @param priv_key the polynom containing the private key to decrypt
|
|
||||||
* the message
|
|
||||||
* @param priv_key_inv the inverse polynome to the private key
|
|
||||||
* @param out the result polynom is written in here [out]
|
|
||||||
* @param ctx the ntru_context
|
|
||||||
*/
|
|
||||||
void ntru_decrypt_poly(
|
|
||||||
fmpz_poly_t encr_msg,
|
fmpz_poly_t encr_msg,
|
||||||
fmpz_poly_t priv_key,
|
fmpz_poly_t priv_key,
|
||||||
fmpz_poly_t priv_key_inv,
|
fmpz_poly_t priv_key_inv,
|
||||||
|
@ -35,7 +35,20 @@
|
|||||||
#include <fmpz.h>
|
#include <fmpz.h>
|
||||||
|
|
||||||
|
|
||||||
void ntru_decrypt_poly(
|
/**
|
||||||
|
* Decryption of the given Polynom with the private key, its inverse
|
||||||
|
* and the fitting ntru_context
|
||||||
|
*
|
||||||
|
* @param encr_msg encrypted polynom with maximum length of N from
|
||||||
|
* the given context
|
||||||
|
* @param priv_key the polynom containing the private key to decrypt
|
||||||
|
* the message
|
||||||
|
* @param priv_key_inv the inverse polynome to the private key
|
||||||
|
* @param out the result polynom is written in here [out]
|
||||||
|
* @param ctx the ntru_context
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
ntru_decrypt_poly(
|
||||||
fmpz_poly_t encr_msg,
|
fmpz_poly_t encr_msg,
|
||||||
fmpz_poly_t priv_key,
|
fmpz_poly_t priv_key,
|
||||||
fmpz_poly_t priv_key_inv,
|
fmpz_poly_t priv_key_inv,
|
||||||
|
@ -32,23 +32,8 @@
|
|||||||
#include <fmpz.h>
|
#include <fmpz.h>
|
||||||
|
|
||||||
|
|
||||||
/**
|
void
|
||||||
* encrypt the msg, using the math:
|
ntru_encrypt_poly(
|
||||||
* e = (h ∗ r) + m (mod q)
|
|
||||||
*
|
|
||||||
* e = the encrypted poly
|
|
||||||
* h = the public key
|
|
||||||
* r = the random poly
|
|
||||||
* m = the message poly
|
|
||||||
* q = large mod
|
|
||||||
*
|
|
||||||
* @param msg pb_poly* the message to encrypt
|
|
||||||
* @param pub_key pb_poly* the public key
|
|
||||||
* @param rnd pb_poly* the random poly
|
|
||||||
* @param out pb_poly* the output poly [out]
|
|
||||||
* @param ctx ntru_context* the ntru context
|
|
||||||
*/
|
|
||||||
void ntru_encrypt_poly(
|
|
||||||
fmpz_poly_t msg,
|
fmpz_poly_t msg,
|
||||||
fmpz_poly_t pub_key,
|
fmpz_poly_t pub_key,
|
||||||
fmpz_poly_t rnd,
|
fmpz_poly_t rnd,
|
||||||
|
@ -36,7 +36,24 @@
|
|||||||
#include <fmpz.h>
|
#include <fmpz.h>
|
||||||
|
|
||||||
|
|
||||||
void ntru_encrypt_poly(
|
/**
|
||||||
|
* encrypt the msg, using the math:
|
||||||
|
* e = (h ∗ r) + m (mod q)
|
||||||
|
*
|
||||||
|
* e = the encrypted poly
|
||||||
|
* h = the public key
|
||||||
|
* r = the random poly
|
||||||
|
* m = the message poly
|
||||||
|
* q = large mod
|
||||||
|
*
|
||||||
|
* @param msg pb_poly* the message to encrypt
|
||||||
|
* @param pub_key pb_poly* the public key
|
||||||
|
* @param rnd pb_poly* the random poly
|
||||||
|
* @param out pb_poly* the output poly [out]
|
||||||
|
* @param ctx ntru_context* the ntru context
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
ntru_encrypt_poly(
|
||||||
fmpz_poly_t msg,
|
fmpz_poly_t msg,
|
||||||
fmpz_poly_t pub_key,
|
fmpz_poly_t pub_key,
|
||||||
fmpz_poly_t rnd,
|
fmpz_poly_t rnd,
|
||||||
|
@ -36,17 +36,8 @@
|
|||||||
#include <stdbool.h>
|
#include <stdbool.h>
|
||||||
|
|
||||||
|
|
||||||
/**
|
bool
|
||||||
* Creates an NTRU key pair,
|
ntru_create_keypair(
|
||||||
* consisting of public and private
|
|
||||||
* components.
|
|
||||||
*
|
|
||||||
* @param f a random polynomial
|
|
||||||
* @param g a random polynomial
|
|
||||||
* @param pair store private and public components here [out]
|
|
||||||
* @param ctx the NTRU context
|
|
||||||
*/
|
|
||||||
bool ntru_create_keypair(
|
|
||||||
fmpz_poly_t f,
|
fmpz_poly_t f,
|
||||||
fmpz_poly_t g,
|
fmpz_poly_t g,
|
||||||
keypair *pair,
|
keypair *pair,
|
||||||
@ -91,14 +82,8 @@ cleanup:
|
|||||||
return retval;
|
return retval;
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* Used to free the inner structure
|
ntru_delete_keypair(keypair *pair)
|
||||||
* of a keypair. This will not call free()
|
|
||||||
* on the pair itself.
|
|
||||||
*
|
|
||||||
* @param pair the pair to free the inner structure of
|
|
||||||
*/
|
|
||||||
void ntru_delete_keypair(keypair *pair)
|
|
||||||
{
|
{
|
||||||
fmpz_poly_clear(pair->priv_inv);
|
fmpz_poly_clear(pair->priv_inv);
|
||||||
fmpz_poly_clear(pair->priv);
|
fmpz_poly_clear(pair->priv);
|
||||||
|
@ -62,13 +62,32 @@ struct keypair {
|
|||||||
};
|
};
|
||||||
|
|
||||||
|
|
||||||
bool ntru_create_keypair(
|
/**
|
||||||
|
* Creates an NTRU key pair,
|
||||||
|
* consisting of public and private
|
||||||
|
* components.
|
||||||
|
*
|
||||||
|
* @param f a random polynomial
|
||||||
|
* @param g a random polynomial
|
||||||
|
* @param pair store private and public components here [out]
|
||||||
|
* @param ctx the NTRU context
|
||||||
|
*/
|
||||||
|
bool
|
||||||
|
ntru_create_keypair(
|
||||||
fmpz_poly_t f,
|
fmpz_poly_t f,
|
||||||
fmpz_poly_t g,
|
fmpz_poly_t g,
|
||||||
keypair *pair,
|
keypair *pair,
|
||||||
ntru_context *ctx);
|
ntru_context *ctx);
|
||||||
|
|
||||||
void ntru_delete_keypair(keypair *pair);
|
/**
|
||||||
|
* Used to free the inner structure
|
||||||
|
* of a keypair. This will not call free()
|
||||||
|
* on the pair itself.
|
||||||
|
*
|
||||||
|
* @param pair the pair to free the inner structure of
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
ntru_delete_keypair(keypair *pair);
|
||||||
|
|
||||||
|
|
||||||
#endif /* NTRU_KEYPAIR_H */
|
#endif /* NTRU_KEYPAIR_H */
|
||||||
|
21
src/mem.c
21
src/mem.c
@ -32,14 +32,8 @@
|
|||||||
#include <stdlib.h>
|
#include <stdlib.h>
|
||||||
|
|
||||||
|
|
||||||
/**
|
void *
|
||||||
* Allocate memory of size and return
|
ntru_malloc(size_t size)
|
||||||
* a void pointer.
|
|
||||||
*
|
|
||||||
* @param size of the memory to allocate in bytes
|
|
||||||
* @return void pointer to the beginning of the allocated memory block
|
|
||||||
*/
|
|
||||||
void *ntru_malloc(size_t size)
|
|
||||||
{
|
{
|
||||||
void *ptr;
|
void *ptr;
|
||||||
|
|
||||||
@ -54,15 +48,8 @@ void *ntru_malloc(size_t size)
|
|||||||
return ptr;
|
return ptr;
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void *
|
||||||
* Allocate memory of size and return
|
ntru_calloc(size_t nmemb, size_t size)
|
||||||
* a void pointer. The memory is zeroed.
|
|
||||||
*
|
|
||||||
* @param nmemb amount of blocks to allocate
|
|
||||||
* @param size of the memory blocks to allocate in bytes
|
|
||||||
* @return void pointer to the beginning of the allocated memory block
|
|
||||||
*/
|
|
||||||
void *ntru_calloc(size_t nmemb, size_t size)
|
|
||||||
{
|
{
|
||||||
void *ptr;
|
void *ptr;
|
||||||
|
|
||||||
|
22
src/mem.h
22
src/mem.h
@ -47,8 +47,26 @@
|
|||||||
}
|
}
|
||||||
|
|
||||||
|
|
||||||
void *ntru_malloc(size_t size);
|
/**
|
||||||
void *ntru_calloc(size_t nmemb, size_t size);
|
* Allocate memory of size and return
|
||||||
|
* a void pointer.
|
||||||
|
*
|
||||||
|
* @param size of the memory to allocate in bytes
|
||||||
|
* @return void pointer to the beginning of the allocated memory block
|
||||||
|
*/
|
||||||
|
void *
|
||||||
|
ntru_malloc(size_t size);
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Allocate memory of size and return
|
||||||
|
* a void pointer. The memory is zeroed.
|
||||||
|
*
|
||||||
|
* @param nmemb amount of blocks to allocate
|
||||||
|
* @param size of the memory blocks to allocate in bytes
|
||||||
|
* @return void pointer to the beginning of the allocated memory block
|
||||||
|
*/
|
||||||
|
void *
|
||||||
|
ntru_calloc(size_t nmemb, size_t size);
|
||||||
|
|
||||||
|
|
||||||
#endif /* NTRU_MEM_H */
|
#endif /* NTRU_MEM_H */
|
||||||
|
196
src/poly.c
196
src/poly.c
@ -34,6 +34,7 @@
|
|||||||
|
|
||||||
#include <stdarg.h>
|
#include <stdarg.h>
|
||||||
#include <stdbool.h>
|
#include <stdbool.h>
|
||||||
|
#include <stdint.h>
|
||||||
#include <stdio.h>
|
#include <stdio.h>
|
||||||
#include <stdlib.h>
|
#include <stdlib.h>
|
||||||
#include <sys/types.h>
|
#include <sys/types.h>
|
||||||
@ -42,14 +43,6 @@
|
|||||||
#include <fmpz.h>
|
#include <fmpz.h>
|
||||||
|
|
||||||
|
|
||||||
/*
|
|
||||||
* static declarations
|
|
||||||
*/
|
|
||||||
static void poly_mod2_to_modq(fmpz_poly_t a,
|
|
||||||
fmpz_poly_t Fq,
|
|
||||||
ntru_context *ctx);
|
|
||||||
|
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Find the inverse polynomial modulo a power of 2,
|
* Find the inverse polynomial modulo a power of 2,
|
||||||
* which is q.
|
* which is q.
|
||||||
@ -58,7 +51,14 @@ static void poly_mod2_to_modq(fmpz_poly_t a,
|
|||||||
* @param Fq polynomial [out]
|
* @param Fq polynomial [out]
|
||||||
* @param ctx NTRU context
|
* @param ctx NTRU context
|
||||||
*/
|
*/
|
||||||
static void poly_mod2_to_modq(fmpz_poly_t a,
|
static
|
||||||
|
void poly_mod2_to_modq(fmpz_poly_t a,
|
||||||
|
fmpz_poly_t Fq,
|
||||||
|
ntru_context *ctx);
|
||||||
|
|
||||||
|
|
||||||
|
static void
|
||||||
|
poly_mod2_to_modq(fmpz_poly_t a,
|
||||||
fmpz_poly_t Fq,
|
fmpz_poly_t Fq,
|
||||||
ntru_context *ctx)
|
ntru_context *ctx)
|
||||||
{
|
{
|
||||||
@ -85,51 +85,27 @@ static void poly_mod2_to_modq(fmpz_poly_t a,
|
|||||||
|
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* Initializes and builds a polynomial with the
|
poly_new(fmpz_poly_t new_poly,
|
||||||
* coefficient values of c[] of size len within NTRU
|
|
||||||
* context ctx and returns a newly allocated polynomial.
|
|
||||||
* For an empty polynom, both parameters can be NULL/0.
|
|
||||||
*
|
|
||||||
* @param new_poly the polynomial to initialize and
|
|
||||||
* fill with coefficients
|
|
||||||
* @param c array of polynomial coefficients, can be NULL
|
|
||||||
* @param len size of the coefficient array, can be 0
|
|
||||||
* @return newly allocated polynomial pointer, must be freed
|
|
||||||
* with fmpz_poly_clear()
|
|
||||||
*/
|
|
||||||
void poly_new(fmpz_poly_t new_poly,
|
|
||||||
int const * const c,
|
int const * const c,
|
||||||
const size_t len)
|
const size_t len)
|
||||||
{
|
{
|
||||||
fmpz_poly_init(new_poly);
|
fmpz_poly_init(new_poly);
|
||||||
|
|
||||||
for (unsigned int i = 0; i < len; i++)
|
for (uint32_t i = 0; i < len; i++)
|
||||||
fmpz_poly_set_coeff_si(new_poly, i, c[i]);
|
fmpz_poly_set_coeff_si(new_poly, i, c[i]);
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* This deletes the internal structure of a polynomial,
|
poly_delete(fmpz_poly_t poly)
|
||||||
* and frees the pointer.
|
|
||||||
*
|
|
||||||
* @param poly the polynomial to delete
|
|
||||||
*/
|
|
||||||
void poly_delete(fmpz_poly_t poly)
|
|
||||||
{
|
{
|
||||||
fmpz_poly_clear(poly);
|
fmpz_poly_clear(poly);
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* Delete the internal structure of a polynomial
|
poly_delete_array(fmpz_poly_t **poly_array)
|
||||||
* array which must be NULL terminated. It is expected
|
|
||||||
* that poly_array is not on the stack and was obtained
|
|
||||||
* by a function like ascii_to_poly().
|
|
||||||
*
|
|
||||||
* @param poly_array the polynomial array
|
|
||||||
*/
|
|
||||||
void poly_delete_array(fmpz_poly_t **poly_array)
|
|
||||||
{
|
{
|
||||||
unsigned int i = 0;
|
uint32_t i = 0;
|
||||||
|
|
||||||
while(poly_array[i]) {
|
while(poly_array[i]) {
|
||||||
poly_delete(*(poly_array[i]));
|
poly_delete(*(poly_array[i]));
|
||||||
@ -139,15 +115,8 @@ void poly_delete_array(fmpz_poly_t **poly_array)
|
|||||||
free(poly_array);
|
free(poly_array);
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* This deletes the internal structure of all polynomials,
|
poly_delete_all(fmpz_poly_t poly, ...)
|
||||||
* and frees the pointers.
|
|
||||||
* You must call this with NULL as last argument!
|
|
||||||
*
|
|
||||||
* @param poly the polynomial to delete
|
|
||||||
* @param ... follow up polynomials
|
|
||||||
*/
|
|
||||||
void poly_delete_all(fmpz_poly_t poly, ...)
|
|
||||||
{
|
{
|
||||||
fmpz_poly_struct *next_poly;
|
fmpz_poly_struct *next_poly;
|
||||||
va_list args;
|
va_list args;
|
||||||
@ -161,20 +130,9 @@ void poly_delete_all(fmpz_poly_t poly, ...)
|
|||||||
va_end(args);
|
va_end(args);
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* Calls fmpz_poly_get_nmod_poly() and
|
fmpz_poly_mod_unsigned(fmpz_poly_t a,
|
||||||
* fmpz_poly_set_nmod_poly_unsigned() in a row,
|
uint32_t mod)
|
||||||
* so we don't have to deal with the intermediate
|
|
||||||
* nmod_poly_t type if we don't need it.
|
|
||||||
*
|
|
||||||
* This also normalises the coefficients to the interval
|
|
||||||
* 0 <= r < m.
|
|
||||||
*
|
|
||||||
* @param a the polynom to apply the modulus to
|
|
||||||
* @param mod the modulus
|
|
||||||
*/
|
|
||||||
void fmpz_poly_mod_unsigned(fmpz_poly_t a,
|
|
||||||
unsigned int mod)
|
|
||||||
{
|
{
|
||||||
nmod_poly_t nmod_tmp;
|
nmod_poly_t nmod_tmp;
|
||||||
|
|
||||||
@ -186,20 +144,9 @@ void fmpz_poly_mod_unsigned(fmpz_poly_t a,
|
|||||||
nmod_poly_clear(nmod_tmp);
|
nmod_poly_clear(nmod_tmp);
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* Calls fmpz_poly_get_nmod_poly() and
|
fmpz_poly_mod(fmpz_poly_t a,
|
||||||
* fmpz_poly_set_nmod_poly() in a row,
|
uint32_t mod)
|
||||||
* so we don't have to deal with the intermediate
|
|
||||||
* nmod_poly_t type if we don't need it.
|
|
||||||
*
|
|
||||||
* This also normalises the coefficients to the interval
|
|
||||||
* -m/2 <= r < m/2.
|
|
||||||
*
|
|
||||||
* @param a the polynom to apply the modulus to
|
|
||||||
* @param mod the modulus
|
|
||||||
*/
|
|
||||||
void fmpz_poly_mod(fmpz_poly_t a,
|
|
||||||
unsigned int mod)
|
|
||||||
{
|
{
|
||||||
nmod_poly_t nmod_tmp;
|
nmod_poly_t nmod_tmp;
|
||||||
|
|
||||||
@ -211,16 +158,8 @@ void fmpz_poly_mod(fmpz_poly_t a,
|
|||||||
nmod_poly_clear(nmod_tmp);
|
nmod_poly_clear(nmod_tmp);
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* The same as fmpz_poly_set_coeff_fmpz() except that it
|
fmpz_poly_set_coeff_fmpz_n(fmpz_poly_t poly, slong n,
|
||||||
* will take care of null-pointer coefficients and use
|
|
||||||
* fmpz_poly_set_coeff_si() in that case.
|
|
||||||
*
|
|
||||||
* @param poly the polynom we want to change a coefficient of
|
|
||||||
* @param n the coefficient we want to set
|
|
||||||
* @param x the value to assign to the coefficient
|
|
||||||
*/
|
|
||||||
void fmpz_poly_set_coeff_fmpz_n(fmpz_poly_t poly, slong n,
|
|
||||||
const fmpz_t x)
|
const fmpz_t x)
|
||||||
{
|
{
|
||||||
if (x)
|
if (x)
|
||||||
@ -229,15 +168,8 @@ void fmpz_poly_set_coeff_fmpz_n(fmpz_poly_t poly, slong n,
|
|||||||
fmpz_poly_set_coeff_si(poly, n, 0);
|
fmpz_poly_set_coeff_si(poly, n, 0);
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
int
|
||||||
* Wrapper around fmpz_invmod() where we convert
|
fmpz_invmod_ui(fmpz_t f, const fmpz_t g, uint32_t mod)
|
||||||
* mod to an fmpz_t implicitly.
|
|
||||||
*
|
|
||||||
* @param f result [out]
|
|
||||||
* @param g the inverse
|
|
||||||
* @param mod the modulo
|
|
||||||
*/
|
|
||||||
int fmpz_invmod_ui(fmpz_t f, const fmpz_t g, unsigned int mod)
|
|
||||||
{
|
{
|
||||||
fmpz_t modulus;
|
fmpz_t modulus;
|
||||||
|
|
||||||
@ -246,11 +178,8 @@ int fmpz_invmod_ui(fmpz_t f, const fmpz_t g, unsigned int mod)
|
|||||||
return fmpz_invmod(f, g, modulus);
|
return fmpz_invmod(f, g, modulus);
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* The same as fmpz_add() except that it handles NULL
|
fmpz_add_n(fmpz_t f, const fmpz_t g, const fmpz_t h)
|
||||||
* pointer for g and h.
|
|
||||||
*/
|
|
||||||
void fmpz_add_n(fmpz_t f, const fmpz_t g, const fmpz_t h)
|
|
||||||
{
|
{
|
||||||
if (!g && !h) {
|
if (!g && !h) {
|
||||||
fmpz_zero(f);
|
fmpz_zero(f);
|
||||||
@ -264,21 +193,12 @@ void fmpz_add_n(fmpz_t f, const fmpz_t g, const fmpz_t h)
|
|||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* Starmultiplication, as follows:
|
poly_starmultiply(fmpz_poly_t a,
|
||||||
* c = a * b mod (x^N − 1)
|
|
||||||
*
|
|
||||||
* @param a polynom to multiply (can be the same as c)
|
|
||||||
* @param b polynom to multiply
|
|
||||||
* @param c polynom [out]
|
|
||||||
* @param ctx NTRU context
|
|
||||||
* @param modulus whether we use p or q
|
|
||||||
*/
|
|
||||||
void poly_starmultiply(fmpz_poly_t a,
|
|
||||||
fmpz_poly_t b,
|
fmpz_poly_t b,
|
||||||
fmpz_poly_t c,
|
fmpz_poly_t c,
|
||||||
ntru_context *ctx,
|
ntru_context *ctx,
|
||||||
unsigned int modulus)
|
uint32_t modulus)
|
||||||
{
|
{
|
||||||
fmpz_poly_t a_tmp;
|
fmpz_poly_t a_tmp;
|
||||||
fmpz_t c_coeff_k;
|
fmpz_t c_coeff_k;
|
||||||
@ -329,19 +249,8 @@ void poly_starmultiply(fmpz_poly_t a,
|
|||||||
fmpz_poly_clear(a_tmp);
|
fmpz_poly_clear(a_tmp);
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
bool
|
||||||
* Compute the inverse of a polynomial in modulo a power of 2,
|
poly_inverse_poly_q(fmpz_poly_t a,
|
||||||
* which is q. This is based off the pseudo-code for "Inversion
|
|
||||||
* in (Z/2Z)[X](X^N - 1)" and "Inversion in (Z/p^r Z)[X](X^N - 1)".
|
|
||||||
* See NTRU Cryptosystems Tech Report #014 "Almost Inverses
|
|
||||||
* and Fast NTRU Key Creation."
|
|
||||||
*
|
|
||||||
* @param a polynomial to invert (is allowed to be the same as param Fq)
|
|
||||||
* @param Fq polynomial [out]
|
|
||||||
* @param ctx NTRU context
|
|
||||||
* @return true if invertible, false if not
|
|
||||||
*/
|
|
||||||
bool poly_inverse_poly_q(fmpz_poly_t a,
|
|
||||||
fmpz_poly_t Fq,
|
fmpz_poly_t Fq,
|
||||||
ntru_context *ctx)
|
ntru_context *ctx)
|
||||||
{
|
{
|
||||||
@ -374,7 +283,7 @@ bool poly_inverse_poly_q(fmpz_poly_t a,
|
|||||||
|
|
||||||
while (1) {
|
while (1) {
|
||||||
while (fmpz_is_zero(fmpz_poly_get_coeff_ptr(f, 0))) {
|
while (fmpz_is_zero(fmpz_poly_get_coeff_ptr(f, 0))) {
|
||||||
for (unsigned int i = 1; i <= ctx->N; i++) {
|
for (uint32_t i = 1; i <= ctx->N; i++) {
|
||||||
fmpz *f_coeff = fmpz_poly_get_coeff_ptr(f, i);
|
fmpz *f_coeff = fmpz_poly_get_coeff_ptr(f, i);
|
||||||
fmpz *c_coeff = fmpz_poly_get_coeff_ptr(c, ctx->N - i);
|
fmpz *c_coeff = fmpz_poly_get_coeff_ptr(c, ctx->N - i);
|
||||||
|
|
||||||
@ -455,16 +364,8 @@ cleanup:
|
|||||||
return retval;
|
return retval;
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
bool
|
||||||
* Compute the inverse of a polynomial in (Z/pZ)[X]/(X^N - 1).
|
poly_inverse_poly_p(fmpz_poly_t a,
|
||||||
* See NTRU Cryptosystems Tech Report #014 "Almost Inverses
|
|
||||||
* and Fast NTRU Key Creation."
|
|
||||||
*
|
|
||||||
* @param a polynomial to invert
|
|
||||||
* @param Fp polynomial [out]
|
|
||||||
* @param ctx NTRU context
|
|
||||||
*/
|
|
||||||
bool poly_inverse_poly_p(fmpz_poly_t a,
|
|
||||||
fmpz_poly_t Fp,
|
fmpz_poly_t Fp,
|
||||||
ntru_context *ctx)
|
ntru_context *ctx)
|
||||||
{
|
{
|
||||||
@ -497,7 +398,7 @@ bool poly_inverse_poly_p(fmpz_poly_t a,
|
|||||||
|
|
||||||
while (1) {
|
while (1) {
|
||||||
while (fmpz_is_zero(fmpz_poly_get_coeff_ptr(f, 0))) {
|
while (fmpz_is_zero(fmpz_poly_get_coeff_ptr(f, 0))) {
|
||||||
for (unsigned int i = 1; i <= ctx->N; i++) {
|
for (uint32_t i = 1; i <= ctx->N; i++) {
|
||||||
fmpz *f_coeff_tmp = fmpz_poly_get_coeff_ptr(f, i);
|
fmpz *f_coeff_tmp = fmpz_poly_get_coeff_ptr(f, i);
|
||||||
fmpz *c_coeff_tmp = fmpz_poly_get_coeff_ptr(c, ctx->N - i);
|
fmpz *c_coeff_tmp = fmpz_poly_get_coeff_ptr(c, ctx->N - i);
|
||||||
|
|
||||||
@ -631,24 +532,15 @@ cleanup:
|
|||||||
return retval;
|
return retval;
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* Draws a polynomial to stdout.
|
poly_draw(fmpz_poly_t poly)
|
||||||
*
|
|
||||||
* @param poly draw this
|
|
||||||
*/
|
|
||||||
void poly_draw(fmpz_poly_t poly)
|
|
||||||
{
|
{
|
||||||
fmpz_poly_print(poly);
|
fmpz_poly_print(poly);
|
||||||
flint_printf("\n");
|
flint_printf("\n");
|
||||||
}
|
}
|
||||||
|
|
||||||
/**
|
void
|
||||||
* Draws a polynomial to stdout,
|
poly_draw_pretty(fmpz_poly_t poly)
|
||||||
* in pretty format.
|
|
||||||
*
|
|
||||||
* @param poly draw this
|
|
||||||
*/
|
|
||||||
void poly_draw_pretty(fmpz_poly_t poly)
|
|
||||||
{
|
{
|
||||||
fmpz_poly_print_pretty(poly, "x");
|
fmpz_poly_print_pretty(poly, "x");
|
||||||
flint_printf("\n");
|
flint_printf("\n");
|
||||||
|
173
src/poly.h
173
src/poly.h
@ -33,54 +33,191 @@
|
|||||||
|
|
||||||
#include <stdarg.h>
|
#include <stdarg.h>
|
||||||
#include <stdbool.h>
|
#include <stdbool.h>
|
||||||
|
#include <stdint.h>
|
||||||
#include <stdlib.h>
|
#include <stdlib.h>
|
||||||
|
|
||||||
#include <fmpz_poly.h>
|
#include <fmpz_poly.h>
|
||||||
|
|
||||||
|
|
||||||
void poly_new(fmpz_poly_t new_poly,
|
/**
|
||||||
|
* Initializes and builds a polynomial with the
|
||||||
|
* coefficient values of c[] of size len within NTRU
|
||||||
|
* context ctx and returns a newly allocated polynomial.
|
||||||
|
* For an empty polynom, both parameters can be NULL/0.
|
||||||
|
*
|
||||||
|
* @param new_poly the polynomial to initialize and
|
||||||
|
* fill with coefficients
|
||||||
|
* @param c array of polynomial coefficients, can be NULL
|
||||||
|
* @param len size of the coefficient array, can be 0
|
||||||
|
* @return newly allocated polynomial pointer, must be freed
|
||||||
|
* with fmpz_poly_clear()
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
poly_new(fmpz_poly_t new_poly,
|
||||||
int const * const c,
|
int const * const c,
|
||||||
const size_t len);
|
const size_t len);
|
||||||
|
|
||||||
void poly_delete(fmpz_poly_t poly);
|
/**
|
||||||
|
* This deletes the internal structure of a polynomial,
|
||||||
|
* and frees the pointer.
|
||||||
|
*
|
||||||
|
* @param poly the polynomial to delete
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
poly_delete(fmpz_poly_t poly);
|
||||||
|
|
||||||
void poly_delete_array(fmpz_poly_t **poly_array);
|
/**
|
||||||
|
* Delete the internal structure of a polynomial
|
||||||
|
* array which must be NULL terminated. It is expected
|
||||||
|
* that poly_array is not on the stack and was obtained
|
||||||
|
* by a function like ascii_to_poly().
|
||||||
|
*
|
||||||
|
* @param poly_array the polynomial array
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
poly_delete_array(fmpz_poly_t **poly_array);
|
||||||
|
|
||||||
void poly_delete_all(fmpz_poly_t poly, ...);
|
/**
|
||||||
|
* This deletes the internal structure of all polynomials,
|
||||||
|
* and frees the pointers.
|
||||||
|
* You must call this with NULL as last argument!
|
||||||
|
*
|
||||||
|
* @param poly the polynomial to delete
|
||||||
|
* @param ... follow up polynomials
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
poly_delete_all(fmpz_poly_t poly, ...);
|
||||||
|
|
||||||
void fmpz_poly_mod_unsigned(fmpz_poly_t a,
|
/**
|
||||||
unsigned int mod);
|
* Calls fmpz_poly_get_nmod_poly() and
|
||||||
|
* fmpz_poly_set_nmod_poly_unsigned() in a row,
|
||||||
|
* so we don't have to deal with the intermediate
|
||||||
|
* nmod_poly_t type if we don't need it.
|
||||||
|
*
|
||||||
|
* This also normalises the coefficients to the interval
|
||||||
|
* 0 <= r < m.
|
||||||
|
*
|
||||||
|
* @param a the polynom to apply the modulus to
|
||||||
|
* @param mod the modulus
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
fmpz_poly_mod_unsigned(fmpz_poly_t a,
|
||||||
|
uint32_t mod);
|
||||||
|
|
||||||
void fmpz_poly_mod(fmpz_poly_t a,
|
/**
|
||||||
unsigned int mod);
|
* Calls fmpz_poly_get_nmod_poly() and
|
||||||
|
* fmpz_poly_set_nmod_poly() in a row,
|
||||||
|
* so we don't have to deal with the intermediate
|
||||||
|
* nmod_poly_t type if we don't need it.
|
||||||
|
*
|
||||||
|
* This also normalises the coefficients to the interval
|
||||||
|
* -m/2 <= r < m/2.
|
||||||
|
*
|
||||||
|
* @param a the polynom to apply the modulus to
|
||||||
|
* @param mod the modulus
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
fmpz_poly_mod(fmpz_poly_t a,
|
||||||
|
uint32_t mod);
|
||||||
|
|
||||||
void fmpz_poly_set_coeff_fmpz_n(fmpz_poly_t poly,
|
/**
|
||||||
|
* The same as fmpz_poly_set_coeff_fmpz() except that it
|
||||||
|
* will take care of null-pointer coefficients and use
|
||||||
|
* fmpz_poly_set_coeff_si() in that case.
|
||||||
|
*
|
||||||
|
* @param poly the polynom we want to change a coefficient of
|
||||||
|
* @param n the coefficient we want to set
|
||||||
|
* @param x the value to assign to the coefficient
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
fmpz_poly_set_coeff_fmpz_n(fmpz_poly_t poly,
|
||||||
slong n,
|
slong n,
|
||||||
const fmpz_t x);
|
const fmpz_t x);
|
||||||
|
|
||||||
int fmpz_invmod_ui(fmpz_t f,
|
/**
|
||||||
|
* Wrapper around fmpz_invmod() where we convert
|
||||||
|
* mod to an fmpz_t implicitly.
|
||||||
|
*
|
||||||
|
* @param f result [out]
|
||||||
|
* @param g the inverse
|
||||||
|
* @param mod the modulo
|
||||||
|
*/
|
||||||
|
int
|
||||||
|
fmpz_invmod_ui(fmpz_t f,
|
||||||
const fmpz_t g,
|
const fmpz_t g,
|
||||||
unsigned int mod);
|
uint32_t mod);
|
||||||
|
|
||||||
void fmpz_add_n(fmpz_t f, const fmpz_t g, const fmpz_t h);
|
/**
|
||||||
|
* The same as fmpz_add() except that it handles NULL
|
||||||
|
* pointer for g and h.
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
fmpz_add_n(fmpz_t f, const fmpz_t g, const fmpz_t h);
|
||||||
|
|
||||||
void poly_starmultiply(fmpz_poly_t a,
|
/**
|
||||||
|
* Starmultiplication, as follows:
|
||||||
|
* c = a * b mod (x^N − 1)
|
||||||
|
*
|
||||||
|
* @param a polynom to multiply (can be the same as c)
|
||||||
|
* @param b polynom to multiply
|
||||||
|
* @param c polynom [out]
|
||||||
|
* @param ctx NTRU context
|
||||||
|
* @param modulus whether we use p or q
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
poly_starmultiply(fmpz_poly_t a,
|
||||||
fmpz_poly_t b,
|
fmpz_poly_t b,
|
||||||
fmpz_poly_t c,
|
fmpz_poly_t c,
|
||||||
ntru_context *ctx,
|
ntru_context *ctx,
|
||||||
unsigned int modulus);
|
uint32_t modulus);
|
||||||
|
|
||||||
bool poly_inverse_poly_q(fmpz_poly_t a,
|
/**
|
||||||
|
* Compute the inverse of a polynomial in modulo a power of 2,
|
||||||
|
* which is q. This is based off the pseudo-code for "Inversion
|
||||||
|
* in (Z/2Z)[X](X^N - 1)" and "Inversion in (Z/p^r Z)[X](X^N - 1)".
|
||||||
|
* See NTRU Cryptosystems Tech Report #014 "Almost Inverses
|
||||||
|
* and Fast NTRU Key Creation."
|
||||||
|
*
|
||||||
|
* @param a polynomial to invert (is allowed to be the same as param Fq)
|
||||||
|
* @param Fq polynomial [out]
|
||||||
|
* @param ctx NTRU context
|
||||||
|
* @return true if invertible, false if not
|
||||||
|
*/
|
||||||
|
bool
|
||||||
|
poly_inverse_poly_q(fmpz_poly_t a,
|
||||||
fmpz_poly_t Fq,
|
fmpz_poly_t Fq,
|
||||||
ntru_context *ctx);
|
ntru_context *ctx);
|
||||||
|
|
||||||
bool poly_inverse_poly_p(fmpz_poly_t a,
|
/**
|
||||||
|
* Compute the inverse of a polynomial in (Z/pZ)[X]/(X^N - 1).
|
||||||
|
* See NTRU Cryptosystems Tech Report #014 "Almost Inverses
|
||||||
|
* and Fast NTRU Key Creation."
|
||||||
|
*
|
||||||
|
* @param a polynomial to invert
|
||||||
|
* @param Fp polynomial [out]
|
||||||
|
* @param ctx NTRU context
|
||||||
|
*/
|
||||||
|
bool
|
||||||
|
poly_inverse_poly_p(fmpz_poly_t a,
|
||||||
fmpz_poly_t Fp,
|
fmpz_poly_t Fp,
|
||||||
ntru_context *ctx);
|
ntru_context *ctx);
|
||||||
|
|
||||||
void poly_draw(fmpz_poly_t poly);
|
/**
|
||||||
|
* Draws a polynomial to stdout.
|
||||||
|
*
|
||||||
|
* @param poly draw this
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
poly_draw(fmpz_poly_t poly);
|
||||||
|
|
||||||
void poly_draw_pretty(fmpz_poly_t poly);
|
/**
|
||||||
|
* Draws a polynomial to stdout,
|
||||||
|
* in pretty format.
|
||||||
|
*
|
||||||
|
* @param poly draw this
|
||||||
|
*/
|
||||||
|
void
|
||||||
|
poly_draw_pretty(fmpz_poly_t poly);
|
||||||
|
|
||||||
|
|
||||||
#endif /* NTRU_POLY_H */
|
#endif /* NTRU_POLY_H */
|
||||||
|
@ -46,7 +46,7 @@ static mp_digit get_random_ternary(mp_digit random_int, int* sign);
|
|||||||
static mp_int *get_random_bigint(mp_int *upper_bound,
|
static mp_int *get_random_bigint(mp_int *upper_bound,
|
||||||
mp_int *lower_bound,
|
mp_int *lower_bound,
|
||||||
int entropy_source);
|
int entropy_source);
|
||||||
static unsigned int check_allowed_zeros(pb_poly *polynom);
|
static uint32_t check_allowed_zeros(pb_poly *polynom);
|
||||||
|
|
||||||
/**
|
/**
|
||||||
* Reads a single mp_digit out of /dev/random and returns this mp_digit
|
* Reads a single mp_digit out of /dev/random and returns this mp_digit
|
||||||
@ -149,9 +149,9 @@ static mp_int *get_random_bigint(mp_int *upper_bound,
|
|||||||
* -1 if the polynom zero coefficients are over
|
* -1 if the polynom zero coefficients are over
|
||||||
* PERCENTAGE_OF_ZERO_ALLOWED percent
|
* PERCENTAGE_OF_ZERO_ALLOWED percent
|
||||||
*/
|
*/
|
||||||
static unsigned int check_allowed_zeros(pb_poly *polynom)
|
static uint32_t check_allowed_zeros(pb_poly *polynom)
|
||||||
{
|
{
|
||||||
unsigned int result = -1;
|
uint32_t result = -1;
|
||||||
//TODO
|
//TODO
|
||||||
return result;
|
return result;
|
||||||
}
|
}
|
||||||
@ -175,7 +175,7 @@ pb_poly *ntru_get_random_poly_ternary(size_t length, int entropy_source)
|
|||||||
init_polynom_size(poly, &chara, length);
|
init_polynom_size(poly, &chara, length);
|
||||||
mp_clear(&chara);
|
mp_clear(&chara);
|
||||||
|
|
||||||
for (unsigned int i = 0; i < length; i++) {
|
for (uint32_t i = 0; i < length; i++) {
|
||||||
int sign;
|
int sign;
|
||||||
if (entropy_source == GET_INT_FROM_RRAND) {
|
if (entropy_source == GET_INT_FROM_RRAND) {
|
||||||
coefficient = get_int_dev_random();
|
coefficient = get_int_dev_random();
|
||||||
|
Loading…
Reference in New Issue
Block a user