KAP With Multi Party Using CSP Sample Clauses

KAP With Multi Party Using CSP. A1, A2, A3, A4…………. Ak agree on a finite non-abelian group (Discrete Heisenberg Group) and they agree on a public element w Є 1 =Z 3 and a cyclic subgroup G = < e ,x ,x > , xxxxx xx = ba ,a ,b are generators of G p 1 1 First Round : A1 chooses an element g1 Є G1 , computes K11 = g -1 w g1 and sends it to A2 A2 chooses an element g2 Є G1, computes K12 = g -1 w g2 and sends it to A3 A3 chooses an element g3 Є G1, computes K13 = g -1 w g3and sends it to A4 A4 chooses an element g4 Є G1 computes K14 = g -1 w g4 and sends it to A5 ………………………………………………… k Ak chooses an element gk Є G1, computes K1k = g -1 w gk and sends it to A1 Second Round A1 computes K21 = g -1 K1kg1 and sends it to A2 A2 computes K22 = g -1 K11g1 and sends it to A3 A3 computes K23 = g -1 K12g1 and sends it to A4 A4 computes K24 = g -1 K13g1 and sends it to A5 …………………………………………………………………………………………………… 1 Ak computes K2k = g -1 K1kg1 and sends it to A1 ………………………………………………………………………………………………………… (K-1)St Round: 3 A1 computes KK-1 1 = g -1 K(k-2 )k g1 and sends it to A2 A2 computes Kk-12 = g -1 K(k-2)2 g2 and sends it to A3 A3 computes Kk-1 3 = g -1 K(k-2)1g3 and sends it to A4 k ……………………………………………………………………… Ak computes K(k-1)k = g -1 K(k-2)(k-1) gk and sends it to A1 A1 computes Kk1 = g -1 Kk-1k g1 A2 computes Kk2 = g -1 K(k-1)1 g2 A3 computes Kk3 = g -1 K(k-1)1 g3 k ……………………………………………………………………… Ak computes Kk3 = g -1 K(k-1)(k-1) gk Kk1= Kk2 = Kk3 = Kk4 …………..= Kkk is their common shared key.
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