📄 joux.c
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/* Joux one round protocol for tripartite Diffie-Hellman Based on papers "A. Joux. A One Round Protocol for Tripartie Diffie-Hellman. Proceedings of ANTS 4. LNCS 1838, pp. 385-394, 2000." Contributed by Dmitry Kosolapov.*/#include <pbc.h>#include <pbc_time.h>#include <stdio.h>int main(void){ pairing_t pairing; double time1, time2; element_t P, a, b, c, Ka, Kb, Kc, t1, t2, t3, t4, t5, t6; pairing_init_inp_str(pairing, stdin); element_init_G1(P, pairing); element_init_G1(t1, pairing); element_init_G1(t2, pairing); element_init_G1(t3, pairing); element_init_Zr(a, pairing); element_init_Zr(b, pairing); element_init_Zr(c, pairing); element_init_GT(t4, pairing); element_init_GT(t5, pairing); element_init_GT(t6, pairing); element_init_GT(Ka, pairing); element_init_GT(Kb, pairing); element_init_GT(Kc, pairing); if (!pairing_is_symmetric(pairing)) { fprintf(stderr, "only works with symmetric pairing\n"); exit(1); } time1 = get_time(); printf("Joux key agreement between A, B and C.\n"); element_random(P); element_random(a); element_random(b); element_random(c); element_mul_zn(t1, P, a); printf("A sends B and C: aP\n"); element_printf("aP = %B\n", t1); element_mul_zn(t2, P, b); printf("B sends A and C: bP\n"); element_printf("bP = %B\n", t2); element_mul_zn(t3, P, c); printf("C sends A and B: cP\n"); element_printf("cP = %B\n", t3); pairing_apply(t4, t2, t3, pairing); element_pow_zn(Ka, t4, a); element_printf("Ka = %B\n", Ka); pairing_apply(t5, t1, t3, pairing); element_pow_zn(Kb, t5, b); element_printf("Kb = %B\n", Kb); pairing_apply(t6, t1, t2, pairing); element_pow_zn(Kc, t6, c); element_printf("Kc = %B\n", Kc); printf("Shared key K = Ka = Kb = Kc\n"); time2 = get_time(); printf("All time = %fs\n", time2 - time1); element_clear(P); element_clear(a); element_clear(b); element_clear(c); element_clear(Ka); element_clear(Kb); element_clear(Kc); element_clear(t1); element_clear(t2); element_clear(t3); element_clear(t4); element_clear(t5); element_clear(t6); pairing_clear(pairing); return 0;}
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