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authorW. Kosior <koszko@koszko.org>2024-11-24 22:11:43 +0100
committerW. Kosior <koszko@koszko.org>2024-11-24 22:16:14 +0100
commitdc55965c8b2dfe52c54919f92c42bd47cce406b5 (patch)
tree5930876e4efc1d85f1eb5218189621f3ace8cc28
downloadpq-blind-sigs-impl-dc55965c8b2dfe52c54919f92c42bd47cce406b5.tar.gz
pq-blind-sigs-impl-dc55965c8b2dfe52c54919f92c42bd47cce406b5.zip
Initial commit
-rw-r--r--.gitignore6
-rw-r--r--.reuse/dep510
-rw-r--r--LICENSES/CC0-1.0.txt121
-rw-r--r--Makefile15
-rw-r--r--README.md23
-rw-r--r--README.md.license3
-rwxr-xr-xdev-shell10
-rw-r--r--poly_mul.c278
8 files changed, 466 insertions, 0 deletions
diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..3fdc49e
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,6 @@
+# SPDX-License-Identifier: CC0-1.0
+#
+# Copyright (C) 2024 W. Kosior <koszko@koszko.org>
+
+poly_mul
+*.o
diff --git a/.reuse/dep5 b/.reuse/dep5
new file mode 100644
index 0000000..b8585cb
--- /dev/null
+++ b/.reuse/dep5
@@ -0,0 +1,10 @@
+Format: https://www.debian.org/doc/packaging-manuals/copyright-format/1.0/
+Upstream-Name: Post-quantum blind signatures implementation
+Upstream-Contact: W. Kosior <koszko@koszko.org>
+Source: https://git.koszko.org/pq-blind-sigs-impl
+
+# Sample paragraph, commented out:
+#
+# Files: src/*
+# Copyright: $YEAR $NAME <$CONTACT>
+# License: ...
diff --git a/LICENSES/CC0-1.0.txt b/LICENSES/CC0-1.0.txt
new file mode 100644
index 0000000..0e259d4
--- /dev/null
+++ b/LICENSES/CC0-1.0.txt
@@ -0,0 +1,121 @@
+Creative Commons Legal Code
+
+CC0 1.0 Universal
+
+ CREATIVE COMMONS CORPORATION IS NOT A LAW FIRM AND DOES NOT PROVIDE
+ LEGAL SERVICES. DISTRIBUTION OF THIS DOCUMENT DOES NOT CREATE AN
+ ATTORNEY-CLIENT RELATIONSHIP. CREATIVE COMMONS PROVIDES THIS
+ INFORMATION ON AN "AS-IS" BASIS. CREATIVE COMMONS MAKES NO WARRANTIES
+ REGARDING THE USE OF THIS DOCUMENT OR THE INFORMATION OR WORKS
+ PROVIDED HEREUNDER, AND DISCLAIMS LIABILITY FOR DAMAGES RESULTING FROM
+ THE USE OF THIS DOCUMENT OR THE INFORMATION OR WORKS PROVIDED
+ HEREUNDER.
+
+Statement of Purpose
+
+The laws of most jurisdictions throughout the world automatically confer
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+1. Copyright and Related Rights. A Work made available under CC0 may be
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+revocation, rescission, cancellation, termination, or any other legal or
+equitable action to disrupt the quiet enjoyment of the Work by the public
+as contemplated by Affirmer's express Statement of Purpose.
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+3. Public License Fallback. Should any part of the Waiver for any reason
+be judged legally invalid or ineffective under applicable law, then the
+Waiver shall be preserved to the maximum extent permitted taking into
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+person a royalty-free, non transferable, non sublicensable, non exclusive,
+irrevocable and unconditional license to exercise Affirmer's Copyright and
+Related Rights in the Work (i) in all territories worldwide, (ii) for the
+maximum duration provided by applicable law or treaty (including future
+time extensions), (iii) in any current or future medium and for any number
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+limitation commercial, advertising or promotional purposes (the
+"License"). The License shall be deemed effective as of the date CC0 was
+applied by Affirmer to the Work. Should any part of the License for any
+reason be judged legally invalid or ineffective under applicable law, such
+partial invalidity or ineffectiveness shall not invalidate the remainder
+of the License, and in such case Affirmer hereby affirms that he or she
+will not (i) exercise any of his or her remaining Copyright and Related
+Rights in the Work or (ii) assert any associated claims and causes of
+action with respect to the Work, in either case contrary to Affirmer's
+express Statement of Purpose.
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+4. Limitations and Disclaimers.
+
+ a. No trademark or patent rights held by Affirmer are waived, abandoned,
+ surrendered, licensed or otherwise affected by this document.
+ b. Affirmer offers the Work as-is and makes no representations or
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+ infringement, or the absence of latent or other defects, accuracy, or
+ the present or absence of errors, whether or not discoverable, all to
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+ c. Affirmer disclaims responsibility for clearing rights of other persons
+ that may apply to the Work or any use thereof, including without
+ limitation any person's Copyright and Related Rights in the Work.
+ Further, Affirmer disclaims responsibility for obtaining any necessary
+ consents, permissions or other rights required for any use of the
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+ d. Affirmer understands and acknowledges that Creative Commons is not a
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+ this CC0 or use of the Work.
diff --git a/Makefile b/Makefile
new file mode 100644
index 0000000..b78f6c0
--- /dev/null
+++ b/Makefile
@@ -0,0 +1,15 @@
+# SPDX-License-Identifier: CC0-1.0
+#
+# Copyright (C) 2024 W. Kosior <koszko@koszko.org>
+
+CC = gcc
+CFLAGS = -std=c11 -Wall -Wextra -Werror
+
+poly_mul: poly_mul.o
+ $(CC) -lflint -lgmp -o $@ $^
+
+# For fans of old librebooted ThinkPads — the FLINT build in some distros (at
+# least Guix) uses processor instructions not available in old Core 2 Duo
+# processors… For mere testing it is enough tu run with QEMU emulation, tho.
+run_poly_mul: poly_mul
+ guix shell qemu -- qemu-x86_64 -cpu max $<
diff --git a/README.md b/README.md
new file mode 100644
index 0000000..c89656e
--- /dev/null
+++ b/README.md
@@ -0,0 +1,23 @@
+# Post-quantum blind signatures implementation (in progress)
+
+This is a small university project with the goal of implementing Markus
+Rückert's lattice-based blind signature scheme from 2008[1].
+
+Please consider it a toy program — it's being developed with shortcuts
+(e.g. using a big scientific library (FLINT[2]) for efficient polynomial
+multiplication). Also, there are possibly better BS algorithms by now.
+
+## How it works
+
+Well, the actual program is not there yet. There's just some code to facilitate
+polynomial multiplication in a ring modulo X^m+1 over a modulo field with
+non-canonical range — [-(n-1)/2, (n-1)/2] rather than [0, n-1]. Interestingly,
+only modulo operations in the latter range seem to be directly supported in
+FLINT as of today.
+
+## Building
+
+Please consult the included Makefile :)
+
+- [1] https://eprint.iacr.org/2008/322
+- [2] https://flintlib.org/
diff --git a/README.md.license b/README.md.license
new file mode 100644
index 0000000..5c9c439
--- /dev/null
+++ b/README.md.license
@@ -0,0 +1,3 @@
+SPDX-License-Identifier: CC0-1.0
+
+Copyright (C) 2024 W. Kosior <koszko@koszko.org>
diff --git a/dev-shell b/dev-shell
new file mode 100755
index 0000000..615fa53
--- /dev/null
+++ b/dev-shell
@@ -0,0 +1,10 @@
+#!/bin/sh
+# SPDX-License-Identifier: CC0-1.0
+#
+# Copyright (C) 2024 W. Kosior <koszko@koszko.org>
+
+# It is so annoying to have some shell read garbage from script while you edit
+# it… Why not load all of it to memory first?
+exec sh -c "$(awk '{if (after) print} /#{3}/{after=1}' "$0")" "$0" "$@"
+###
+guix shell gcc-toolchain flint make
diff --git a/poly_mul.c b/poly_mul.c
new file mode 100644
index 0000000..db45bfd
--- /dev/null
+++ b/poly_mul.c
@@ -0,0 +1,278 @@
+/*
+ * SPDX-License-Identifier: CC0-1.0
+ *
+ * Copyright (C) 2024 W. Kosior <koszko@koszko.org>
+ */
+
+#include <stdbool.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <unistd.h>
+
+#include <flint/flint.h>
+#include <flint/fmpz.h>
+#include <flint/fmpz_mod.h>
+#include <flint/fmpz_poly.h>
+
+/* Exponent for Mersenne prime, for testing. */
+#define TEST_MERSENNE_EXPONENT 7 /* 89 */
+
+void marsenne_prime_init(fmpz_t prime, const ulong exponent) {
+ fmpz_init(prime);
+
+ fmpz_ui_pow_ui(prime, 2, exponent);
+ fmpz_sub_ui(prime, prime, 1);
+}
+
+void init_read_poly(fmpz_poly_t poly, FILE * file) {
+ bool first = true;
+ fmpz_t coef;
+
+ fmpz_poly_init(poly);
+ fmpz_init(coef);
+
+ for (ulong exponent = 0;; exponent++) {
+ int separator_char;
+
+ if (first) {
+ first = false;
+ } else {
+ separator_char = getc(file);
+
+ if (separator_char == '\n')
+ break;
+
+ if (separator_char != ' ')
+ goto error;
+ }
+
+ if (fmpz_fread(file, coef) < 0)
+ goto error;
+
+ fmpz_poly_set_coeff_fmpz(poly, exponent, coef);
+ }
+
+ fmpz_clear(coef);
+ return;
+
+error:
+ fprintf(stderr, "Error reading polynomial.\n");
+ abort();
+}
+
+/*
+ * FLINT seems to assume all modulo operations are performed on integers in
+ * range [0, n-1]. Here we provide a facility for performing modulo operations
+ * on big integers in range [-(n-1)/2, (n-1)/2].
+ */
+
+struct mod_centered_0_ctx {
+ fmpz_t mod;
+ fmpz_t range_max;
+};
+
+typedef struct mod_centered_0_ctx mod_centered_0_ctx_t[1];
+
+void mod_c0_ctx_init(mod_centered_0_ctx_t ctx, fmpz_t mod) {
+ struct mod_centered_0_ctx *ctxp = ctx;
+
+ fmpz_init_set(ctxp->mod, mod);
+
+ fmpz_init(ctxp->range_max);
+ fmpz_sub_ui(ctxp->range_max, ctxp->mod, 1);
+ /* Bit-shifting is faster but FLINT lacks convenient API for it. */
+ fmpz_divexact_ui(ctxp->range_max, ctxp->range_max, 2);
+}
+
+void mod_c0_ctx_clear(mod_centered_0_ctx_t ctx) {
+ fmpz_clear(ctx[0].mod);
+ fmpz_clear(ctx[0].range_max);
+}
+
+void mod_c0(fmpz_t value, mod_centered_0_ctx_t ctx) {
+ fmpz_add(value, value, ctx[0].range_max);
+ fmpz_fdiv_r(value, value, ctx[0].mod);
+ fmpz_sub(value, value, ctx[0].range_max);
+}
+
+void mod_c0_ctx_init_set(mod_centered_0_ctx_t dst_ctx,
+ mod_centered_0_ctx_t src_ctx) {
+ fmpz_init_set(dst_ctx[0].mod, src_ctx[0].mod);
+ fmpz_init_set(dst_ctx[0].range_max, src_ctx[0].range_max);
+}
+
+/*
+ * Here we provide a facility for performing operations in polynomial rings
+ * modulo X^m+1 over fields of integers modulo n shifted to range [-(n-1)/2,
+ * (n-1)/2].
+ */
+
+struct poly_ring_ctx {
+ mod_centered_0_ctx_t mod_ctx;
+ slong divisor_degree;
+};
+
+typedef struct poly_ring_ctx poly_ring_ctx_t[1];
+
+void poly_ring_ctx_init(poly_ring_ctx_t ctx, mod_centered_0_ctx_t mod_ctx,
+ slong divisor_degree) {
+ if (divisor_degree < 0)
+ abort();
+
+ mod_c0_ctx_init_set(ctx[0].mod_ctx, mod_ctx);
+ ctx[0].divisor_degree = divisor_degree;
+}
+
+void poly_ring_ctx_clear(poly_ring_ctx_t ctx) {
+ mod_c0_ctx_clear(ctx[0].mod_ctx);
+}
+
+/*
+ * Apply modulo operations to make poly a member of the ring designated by ctx.
+ */
+void poly_to_ring(fmpz_poly_t poly, poly_ring_ctx_t ctx) {
+ slong degree = fmpz_poly_degree(poly);
+ fmpz_t new_coef_value;
+
+ fmpz_init(new_coef_value);
+
+ for (slong coef_idx = 0;
+ coef_idx < ctx[0].divisor_degree;
+ coef_idx++) {
+ int sign = 1;
+ slong higher_coef_idx = coef_idx;
+
+ fmpz_poly_get_coeff_fmpz(new_coef_value, poly, coef_idx);
+
+ /*
+ * Polynomial division by X^m+1 can be achieved by substituting
+ * -1 for X^m.
+ */
+ do {
+ fmpz const * higher_coef;
+
+ sign *= -1;
+ higher_coef_idx += ctx[0].divisor_degree;
+
+ if (higher_coef_idx > degree)
+ break;
+
+ higher_coef =
+ fmpz_poly_get_coeff_ptr(poly, higher_coef_idx);
+
+ (sign == 1 ? &fmpz_add : &fmpz_sub)
+ (new_coef_value, new_coef_value, higher_coef);
+ } while (true);
+
+ mod_c0(new_coef_value, ctx[0].mod_ctx);
+ fmpz_poly_set_coeff_fmpz(poly, coef_idx, new_coef_value);
+ }
+
+ if (degree >= ctx[0].divisor_degree)
+ fmpz_poly_realloc(poly, ctx[0].divisor_degree);
+
+ fmpz_clear(new_coef_value);
+}
+
+void poly_mul_in_ring(fmpz_poly_t res, fmpz_poly_t poly1, fmpz_poly_t poly2,
+ poly_ring_ctx_t ctx) {
+ fmpz_poly_mul(res, poly1, poly2);
+ poly_to_ring(res, ctx);
+}
+
+int main(const int argc, const char* const* const argv) {
+ fmpz_t prime; /* integer for modulo operations */
+ mod_centered_0_ctx_t mod_ctx;
+
+ (void) argc;
+ (void) argv;
+
+ /*
+ * Marsenne primes are used just for testing. Cryptographic algorithm
+ * will use different ones.
+ */
+ marsenne_prime_init(prime, TEST_MERSENNE_EXPONENT);
+
+ printf("Prime used for modulo operations: ");
+ fmpz_fprint(stdout, prime);
+ putchar('\n');
+
+ mod_c0_ctx_init(mod_ctx, prime);
+
+ { /* Experiment 1 — modulo addition */
+ fmpz_t num1, num2, num_sum;
+
+ fmpz_init_set_ui(num1, 55);
+ fmpz_init_set_ui(num2, 31);
+ fmpz_init(num_sum);
+
+ fmpz_fprint(stdout, num1);
+ printf(" + ");
+ fmpz_fprint(stdout, num2);
+ printf(" mod [-");
+ fmpz_fprint(stdout, mod_ctx[0].range_max);
+ putchar(',');
+ fmpz_fprint(stdout, mod_ctx[0].range_max);
+ printf("] = ");
+
+ fmpz_add(num_sum, num1, num2);
+ mod_c0(num_sum, mod_ctx);
+ fmpz_fprint(stdout, num_sum);
+ putchar('\n');
+
+ fmpz_clear(num1);
+ fmpz_clear(num2);
+ fmpz_clear(num_sum);
+ } /* End of experiment 1 */
+
+ { /* Experiment 2 */
+ fmpz_poly_t poly1, poly2, poly_prod;
+ slong divisor_degree;
+ poly_ring_ctx_t poly_ring_ctx;
+
+ printf("Give first polynomial to multiply:\n");
+ init_read_poly(poly1, stdin);
+
+ printf("Read polynomial: ");
+ fmpz_poly_print_pretty(poly1, "x");
+ putchar('\n');
+
+ printf("Give second polynomial to multiply:\n");
+ init_read_poly(poly2, stdin);
+
+ printf("Read polynomial: ");
+ fmpz_poly_print_pretty(poly2, "x");
+ putchar('\n');
+
+ printf("Normal product of polynomials:\n");
+ fmpz_poly_init(poly_prod);
+ fmpz_poly_mul(poly_prod, poly1, poly2);
+ fmpz_poly_print_pretty(poly_prod, "x");
+ putchar('\n');
+
+ printf("Give the degree m of X^m+1 polynomial to be used as ");
+ printf("divisor in the ring:\n");
+ if (flint_scanf("%wd", &divisor_degree) < 1 ||
+ divisor_degree < 1) {
+ fprintf(stderr, "Bad divisor.\n");
+ abort();
+ }
+ poly_ring_ctx_init(poly_ring_ctx, mod_ctx, divisor_degree);
+
+ printf("Product of polynomials in the ring:\n");
+ poly_mul_in_ring(poly_prod, poly1, poly2, poly_ring_ctx);
+ fmpz_poly_print_pretty(poly_prod, "x");
+ putchar('\n');
+
+ fmpz_poly_clear(poly1);
+ fmpz_poly_clear(poly2);
+ fmpz_poly_clear(poly_prod);
+
+ poly_ring_ctx_clear(poly_ring_ctx);
+ } /* End of experiment 2 */
+
+ mod_c0_ctx_clear(mod_ctx);
+ fmpz_clear(prime);
+
+ return EXIT_SUCCESS;
+}