Message Compactness and Computational E ciency Sample Clauses

Message Compactness and Computational E ciency. Protocols built in the signature-then-encryption approach can achieve non-repudiation and unforgeability. Now we compare the e ciency of such protocols with that of ours. Every message in the key transport protocols proposed in this submission is compact and can be carried by a short packet such as a single ATM cell. In terms of computational cost, it takes one modular exponentiation on Xxxxx's side, and two modular exponentiations on Xxx's side which can be reduced to 1.17 exponentiations (on average) when Xxxxxx's method for fast evaluation of the product of several exponentials with the same modulo (see Appendix B). As for pre-computation, the exponentiation by Xxxxx, yx mod p, can be done prior to the start of an execution of a protocol, only if Xxxxx knows beforehand that she is going to communicate with Xxx at a later time. In what follows we compare our protocols Direct Key Exchange Using a Nonce (Protocol DKEUN) Xxxxx Xxx ( N Cb ( N Cb 2R f0; 1g`n key 2R f0; 1g`k x 2R [1;::: ;q 1] (k1; k2) = hash(yx mod p) b c = Ek1 (key) r = KHk2 (key; N Cb; etc) s = x=(r + xa) mod q ) c; r;s ) (k1; k2) = hash((ya gr)s xb mod p) key = Dk1 (c) Accept key only if KHk2 (key; N Cb; etc) = r
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