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Merge pull request #22 from J08nY/feat/nums
Implement NUMS curve generation (somewhat).
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,111 @@ | ||
| /* | ||
| * ecgen, tool for generating Elliptic curve domain parameters | ||
| * Copyright (C) 2023 J08nY | ||
| */ | ||
|
|
||
| #include "nums.h" | ||
| #include "math/subgroup.h" | ||
| #include "obj/point.h" | ||
| #include "obj/subgroup.h" | ||
|
|
||
| GENERATOR(nums_gen_field) { | ||
| pari_sp ltop = avma; | ||
| GEN base = int2u(cfg->bits); | ||
| GEN c = stoi(1); | ||
| GEN p = subii(base, c); | ||
| while (!isprime(p)) { | ||
| c = addiu(c, 4); | ||
| p = subii(base, c); | ||
| } | ||
| curve->field = gerepilecopy(ltop, p); | ||
| return 1; | ||
| } | ||
|
|
||
| GENERATOR(nums_gen_a) { | ||
| curve-> a = gmodulo(stoi(-3), curve->field); | ||
| return 1; | ||
| } | ||
|
|
||
| static GEN b = NULL; | ||
| static curve_t *curve_b = NULL; | ||
|
|
||
| GENERATOR(nums_gen_b) { | ||
| pari_sp ltop = avma; | ||
| if (!b) { | ||
| b = gclone(gen_1); | ||
| curve->b = gmodulo(gen_1, curve->field); | ||
| curve_b = curve; | ||
| return 1; | ||
| } else { | ||
| if (curve_b == curve) { | ||
| // use b, add 1 to it, store it back modified, | ||
| GEN bn; | ||
| if (equaliu(b, 1)) { | ||
| bn = addiu(b, 2); | ||
| } else { | ||
| bn = addiu(b, 1); | ||
| } | ||
| gunclone(b); | ||
| b = gclone(bn); | ||
| curve->b = gerepilecopy(ltop, gmodulo(bn, curve->field)); | ||
| return 1; | ||
| } else { | ||
| // dont use b, regenerate it, | ||
| gunclone(b); | ||
| b = gclone(gen_1); | ||
| curve->b = gerepilecopy(ltop, gmodulo(gen_1, curve->field)); | ||
| curve_b = curve; | ||
| return 1; | ||
| } | ||
| } | ||
| } | ||
|
|
||
| GENERATOR(nums_gen_order) { | ||
| pari_sp ltop = avma; | ||
| GEN order = ellsea(curve->curve, 1); | ||
| GEN frobenius = subii(addis(curve->field, 1), order); | ||
| GEN twist_order = addii(order, muliu(frobenius, 2)); | ||
| if (gequal0(order) || !(isprime(order)) || !(isprime(twist_order))) { | ||
| avma = ltop; | ||
| return -2; // Just go one step back and regenerate the b. | ||
| } else { | ||
| curve->order = gerepilecopy(ltop, order); | ||
| obj_insert_shallow(curve->curve, 1, curve->order); | ||
| return 1; | ||
| } | ||
| } | ||
|
|
||
| GENERATOR(nums_gen_gens) { | ||
| pari_sp ltop = avma; | ||
| GEN x = stoi(1); | ||
| GEN Qy = ellordinate(curve->curve, x, 0); | ||
| while (glength(Qy) == 0) { | ||
| x = addiu(x, 1); | ||
| Qy = ellordinate(curve->curve, x, 0); | ||
| } | ||
| GEN P = NULL; | ||
| if (cmpii(lift(gel(Qy, 1)), lift(gel(Qy, 2))) < 0) { | ||
| P = mkvec2(gmodulo(x, curve->field), gel(Qy, 1)); | ||
| } else { | ||
| P = mkvec2(gmodulo(x, curve->field), gel(Qy, 2)); | ||
| } | ||
|
|
||
| curve->generators = subgroups_new(1); | ||
| curve->ngens = 1; | ||
| subgroup_t *sub = subgroup_new(); | ||
| curve->generators[0] = sub; | ||
| point_t *G = point_new(); | ||
| sub->generator = G; | ||
| G->point = P; | ||
| G->order = ellorder(curve->curve, G->point, NULL); | ||
| G->cofactor = divii(curve->order, G->order); | ||
| gerepileall(ltop, 3, &G->point, &G->order, &G->cofactor); | ||
| return 1; | ||
| } | ||
|
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||
|
|
||
| void nums_quit(void) { | ||
| if (b && isclone(b)) { | ||
| gunclone(b); | ||
| } | ||
| } |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,60 @@ | ||
| /* | ||
| * ecgen, tool for generating Elliptic curve domain parameters | ||
| * Copyright (C) 2023 J08nY | ||
| */ | ||
| /* | ||
| * @file nums.h | ||
| */ | ||
| #ifndef ECGEN_EXHAUSTIVE_NUMS_H | ||
| #define ECGEN_EXHAUSTIVE_NUMS_H | ||
|
|
||
| #include "misc/types.h" | ||
|
|
||
| /** | ||
| * @brief | ||
| * @param curve | ||
| * @param args | ||
| * @param state | ||
| * @return | ||
| */ | ||
| GENERATOR(nums_gen_field); | ||
|
|
||
| /** | ||
| * @brief | ||
| * @param curve | ||
| * @param args | ||
| * @param state | ||
| * @return | ||
| */ | ||
| GENERATOR(nums_gen_a); | ||
|
|
||
| /** | ||
| * @brief | ||
| * @param curve | ||
| * @param args | ||
| * @param state | ||
| * @return | ||
| */ | ||
| GENERATOR(nums_gen_b); | ||
|
|
||
| /** | ||
| * @brief | ||
| * @param curve | ||
| * @param args | ||
| * @param state | ||
| * @return | ||
| */ | ||
| GENERATOR(nums_gen_order); | ||
|
|
||
| /** | ||
| * @brief | ||
| * @param curve | ||
| * @param args | ||
| * @param state | ||
| * @return | ||
| */ | ||
| GENERATOR(nums_gen_gens); | ||
|
|
||
| void nums_quit(); | ||
|
|
||
| #endif // ECGEN_EXHAUSTIVE_NUMS_H |
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