diff --git a/contrib/yggdrasil-brute-simple/.gitignore b/contrib/yggdrasil-brute-simple/.gitignore new file mode 100644 index 00000000..037dde66 --- /dev/null +++ b/contrib/yggdrasil-brute-simple/.gitignore @@ -0,0 +1,7 @@ +* +!.gitignore +!Makefile +!README.md +!LICENSE +!*.c +!*.h diff --git a/contrib/yggdrasil-brute-simple/LICENSE b/contrib/yggdrasil-brute-simple/LICENSE new file mode 100644 index 00000000..2549ece2 --- /dev/null +++ b/contrib/yggdrasil-brute-simple/LICENSE @@ -0,0 +1 @@ +As public domain as possible. Don't blame me if your computer explodes. diff --git a/contrib/yggdrasil-brute-simple/Makefile b/contrib/yggdrasil-brute-simple/Makefile new file mode 100644 index 00000000..aa2adc86 --- /dev/null +++ b/contrib/yggdrasil-brute-simple/Makefile @@ -0,0 +1,12 @@ +.PHONY: all + +all: util yggdrasil-brute-multi-curve25519 yggdrasil-brute-multi-ed25519 + +util: util.c + gcc -Wall -std=c89 -O3 -c -o util.o util.c + +yggdrasil-brute-multi-ed25519: yggdrasil-brute-multi-ed25519.c util.o + gcc -Wall -std=c89 -O3 -o yggdrasil-brute-multi-ed25519 -lsodium yggdrasil-brute-multi-ed25519.c util.o + +yggdrasil-brute-multi-curve25519: yggdrasil-brute-multi-curve25519.c util.o + gcc -Wall -std=c89 -O3 -o yggdrasil-brute-multi-curve25519 -lsodium yggdrasil-brute-multi-curve25519.c util.o diff --git a/contrib/yggdrasil-brute-simple/README.md b/contrib/yggdrasil-brute-simple/README.md new file mode 100644 index 00000000..f7b68765 --- /dev/null +++ b/contrib/yggdrasil-brute-simple/README.md @@ -0,0 +1,8 @@ +# yggdrasil-brute-simple + +Simple program for finding curve25519 and ed25519 public keys whose sha512 hash has many leading ones. +Because ed25519 private keys consist of a seed that is hashed to find the secret part of the keypair, +this program is near optimal for finding ed25519 keypairs. Curve25519 key generation, on the other hand, +could be further optimized with elliptic curve magic. + +Depends on libsodium. diff --git a/contrib/yggdrasil-brute-simple/util.c b/contrib/yggdrasil-brute-simple/util.c new file mode 100644 index 00000000..fd17e496 --- /dev/null +++ b/contrib/yggdrasil-brute-simple/util.c @@ -0,0 +1,62 @@ +#include "yggdrasil-brute.h" + +int find_where(unsigned char hash[64], unsigned char besthashlist[NUMKEYS][64]) { + /* Where to insert hash into sorted hashlist */ + int j; + int where = -1; + for (j = 0; j < NUMKEYS; ++j) { + if (memcmp(hash, besthashlist[j], 64) > 0) ++where; + else break; + } + return where; +} + +void insert_64(unsigned char itemlist[NUMKEYS][64], unsigned char item[64], int where) { + int j; + for (j = 0; j < where; ++j) { + memcpy(itemlist[j], itemlist[j+1], 64); + } + memcpy(itemlist[where], item, 64); +} + +void insert_32(unsigned char itemlist[NUMKEYS][32], unsigned char item[32], int where) { + int j; + for (j = 0; j < where; ++j) { + memcpy(itemlist[j], itemlist[j+1], 32); + } + memcpy(itemlist[where], item, 32); +} + +void make_addr(unsigned char addr[32], unsigned char hash[64]) { + /* Public key hash to yggdrasil ipv6 address */ + int i; + int offset; + unsigned char mask; + unsigned char c; + int ones = 0; + unsigned char br = 0; /* false */ + for (i = 0; i < 64 && !br; ++i) { + mask = 128; + c = hash[i]; + while (mask) { + if (c & mask) { + ++ones; + } else { + br = 1; /* true */ + break; + } + mask >>= 1; + } + } + + addr[0] = 2; + addr[1] = ones; + + offset = ones + 1; + for (i = 0; i < 14; ++i) { + c = hash[offset/8] << (offset%8); + c |= hash[offset/8 + 1] >> (8 - offset%8); + addr[i + 2] = c; + offset += 8; + } +} diff --git a/contrib/yggdrasil-brute-simple/yggdrasil-brute-multi-curve25519.c b/contrib/yggdrasil-brute-simple/yggdrasil-brute-multi-curve25519.c new file mode 100644 index 00000000..f0b6f559 --- /dev/null +++ b/contrib/yggdrasil-brute-simple/yggdrasil-brute-multi-curve25519.c @@ -0,0 +1,107 @@ +/* +sk: 32 random bytes +sk[0] &= 248; +sk[31] &= 127; +sk[31] |= 64; + +increment sk +pk = curve25519_scalarmult_base(mysecret) +hash = sha512(pk) + +if besthash: + bestsk = sk + besthash = hash +*/ + +#include "yggdrasil-brute.h" + + +void seed(unsigned char sk[32]) { + randombytes_buf(sk, 32); + sk[0] &= 248; + sk[31] &= 127; + sk[31] |= 64; +} + + +int main(int argc, char **argv) { + int i; + int j; + unsigned char addr[16]; + time_t starttime; + time_t requestedtime; + + unsigned char bestsklist[NUMKEYS][32]; + unsigned char bestpklist[NUMKEYS][32]; + unsigned char besthashlist[NUMKEYS][64]; + + unsigned char sk[32]; + unsigned char pk[32]; + unsigned char hash[64]; + + unsigned int runs = 0; + int where; + + + if (argc != 2) { + fprintf(stderr, "usage: ./yggdrasil-brute-multi-curve25519 \n"); + return 1; + } + + if (sodium_init() < 0) { + /* panic! the library couldn't be initialized, it is not safe to use */ + printf("sodium init failed!\n"); + return 1; + } + + starttime = time(NULL); + requestedtime = atoi(argv[1]); + + if (requestedtime < 0) requestedtime = 0; + fprintf(stderr, "Searching for yggdrasil curve25519 keys (this will take slightly longer than %ld seconds)\n", requestedtime); + + sodium_memzero(bestsklist, NUMKEYS * 32); + sodium_memzero(bestpklist, NUMKEYS * 32); + sodium_memzero(besthashlist, NUMKEYS * 64); + seed(sk); + + do { + /* generate pubkey, hash, compare, increment secret. + * this loop should take 4 seconds on modern hardware */ + for (i = 0; i < (1 << 16); ++i) { + ++runs; + if (crypto_scalarmult_curve25519_base(pk, sk) != 0) { + printf("scalarmult to create pub failed!\n"); + return 1; + } + crypto_hash_sha512(hash, pk, 32); + + where = find_where(hash, besthashlist); + if (where >= 0) { + insert_32(bestsklist, sk, where); + insert_32(bestpklist, pk, where); + insert_64(besthashlist, hash, where); + + seed(sk); + } + for (j = 1; j < 31; ++j) if (++sk[j]) break; + } + } while (time(NULL) - starttime < requestedtime || runs < NUMKEYS); + + fprintf(stderr, "--------------addr-------------- -----------------------------secret----------------------------- -----------------------------public-----------------------------\n"); + for (i = 0; i < NUMKEYS; ++i) { + make_addr(addr, besthashlist[i]); + for (j = 0; j < 16; ++j) printf("%02x", addr[j]); + printf(" "); + for (j = 0; j < 32; ++j) printf("%02x", bestsklist[i][j]); + printf(" "); + for (j = 0; j < 32; ++j) printf("%02x", bestpklist[i][j]); + printf("\n"); + } + + sodium_memzero(bestsklist, NUMKEYS * 32); + sodium_memzero(sk, 32); + + return 0; +} + diff --git a/contrib/yggdrasil-brute-simple/yggdrasil-brute-multi-ed25519.c b/contrib/yggdrasil-brute-simple/yggdrasil-brute-multi-ed25519.c new file mode 100644 index 00000000..51e9aefd --- /dev/null +++ b/contrib/yggdrasil-brute-simple/yggdrasil-brute-multi-ed25519.c @@ -0,0 +1,109 @@ +/* +seed: 32 random bytes +sk: sha512(seed) +sk[0] &= 248 +sk[31] &= 127 +sk[31] |= 64 + +pk: scalarmult_ed25519_base(sk) + + +increment seed +generate sk +generate pk +hash = sha512(mypub) + +if besthash: + bestseed = seed + bestseckey = sk + bestpubkey = pk + besthash = hash +*/ + +#include "yggdrasil-brute.h" + + +int main(int argc, char **argv) { + int i; + int j; + time_t starttime; + time_t requestedtime; + + unsigned char bestsklist[NUMKEYS][64]; /* sk contains pk */ + unsigned char besthashlist[NUMKEYS][64]; + + unsigned char seed[32]; + unsigned char sk[64]; + unsigned char pk[32]; + unsigned char hash[64]; + + unsigned int runs = 0; + int where; + + + if (argc != 2) { + fprintf(stderr, "usage: ./yggdrasil-brute-multi-curve25519 \n"); + return 1; + } + + if (sodium_init() < 0) { + /* panic! the library couldn't be initialized, it is not safe to use */ + printf("sodium init failed!\n"); + return 1; + } + + starttime = time(NULL); + requestedtime = atoi(argv[1]); + + if (requestedtime < 0) requestedtime = 0; + fprintf(stderr, "Searching for yggdrasil ed25519 keys (this will take slightly longer than %ld seconds)\n", requestedtime); + + sodium_memzero(bestsklist, NUMKEYS * 64); + sodium_memzero(besthashlist, NUMKEYS * 64); + randombytes_buf(seed, 32); + + do { + /* generate pubkey, hash, compare, increment secret. + * this loop should take 4 seconds on modern hardware */ + for (i = 0; i < (1 << 17); ++i) { + ++runs; + crypto_hash_sha512(sk, seed, 32); + + if (crypto_scalarmult_ed25519_base(pk, sk) != 0) { + printf("scalarmult to create pub failed!\n"); + return 1; + } + memcpy(sk + 32, pk, 32); + + crypto_hash_sha512(hash, pk, 32); + + /* insert into local list of good key */ + where = find_where(hash, besthashlist); + if (where >= 0) { + insert_64(bestsklist, sk, where); + insert_64(besthashlist, hash, where); + randombytes_buf(seed, 32); + } + for (j = 1; j < 31; ++j) if (++seed[j]) break; + } + } while (time(NULL) - starttime < requestedtime || runs < NUMKEYS); + + + fprintf(stderr, "!! Secret key is seed concatenated with public !!\n"); + fprintf(stderr, "---hash--- ------------------------------seed------------------------------ -----------------------------public-----------------------------\n"); + for (i = 0; i < NUMKEYS; ++i) { + for (j = 0; j < 5; ++j) printf("%02x", besthashlist[i][j]); + printf(" "); + for (j = 0; j < 32; ++j) printf("%02x", bestsklist[i][j]); + printf(" "); + for (j = 32; j < 64; ++j) printf("%02x", bestsklist[i][j]); + printf("\n"); + } + + sodium_memzero(bestsklist, NUMKEYS * 64); + sodium_memzero(sk, 64); + sodium_memzero(seed, 32); + + return 0; +} + diff --git a/contrib/yggdrasil-brute-simple/yggdrasil-brute.h b/contrib/yggdrasil-brute-simple/yggdrasil-brute.h new file mode 100644 index 00000000..8e39e0f3 --- /dev/null +++ b/contrib/yggdrasil-brute-simple/yggdrasil-brute.h @@ -0,0 +1,12 @@ +#include +#include /* printf */ +#include /* memcpy */ +#include /* atoi */ +#include /* time */ + + +#define NUMKEYS 10 +void make_addr(unsigned char addr[32], unsigned char hash[64]); +int find_where(unsigned char hash[64], unsigned char besthashlist[NUMKEYS][64]); +void insert_64(unsigned char itemlist[NUMKEYS][64], unsigned char item[64], int where); +void insert_32(unsigned char itemlist[NUMKEYS][32], unsigned char item[32], int where);