Review of Xxxxxxxxx and Desmedt’s Group Key Agreement Protocol Sample Clauses

Review of Xxxxxxxxx and Desmedt’s Group Key Agreement Protocol. ≥ ∈ { } Let p be a cX-bit prime for some c 1 and let α Zp have order q, where q is an X-bit number. Suppose that a set of t clients G = g1, . . . , gt wish to establish an X-bit secure group key. In [12], Xxxxxxxxx and Xxxxxxx described the following protocol for group key agreement: 1) Each client gi randomly generates an integer modulo q, ri, and broadcasts zi = αri mod p. 2) Upon reception of zj for all 1 j = i t, each client mod p, . zi+1 Σri zi−1 or pseudo-random distributions derived from a single random seed could instead be used to control the overhead associated where the indices are taken in a cycle so that zt+1 = z1 and z0 = zt. ≤ ƒ ≤

Review of Xxxxxxxxx and Desmedt’s Group Key Agreement Protocol. Let p be a cX-bit prime for some c ≥ 1 and let α ∈ Zp have order q, where q is an X-bit number. Suppose that a set of t clients G = {g1, . . . , gt} wish to establish an X-bit secure group key. In [12], Xxxxxxxxx and Xxxxxxx described the following protocol for group key agreement: 1) Each client gi randomly generates an integer modulo q, bits are required to describe the random master key distribu- tion. For the networks considered in Figure 4 and 5, respec- tively, M (50, 0.1, 500) = 22, 500 bits and M (200, 0.2, 100) = 20, 000 bits. Xxx xxxxxxxxxxx xxxxxx xx X (x, x, X) with n for ri, and broadcasts zi = αri mod p. 2) Upon reception of zj for all 1 ≤ j =ƒ gi computes and broadcasts . zi+1 Σri i ≤ t, each client the random master key distribution may not be be satisfactory in practice. Distributions derived from combinatorial designs zi−1 mod p, or pseudo-random distributions derived from a single random seed could instead be used to control the overhead associated where the indices are taken in a cycle so that zt+1 = z1 and z0 = zt.