초록 ▼

The public key encryption system of the present invention has short and easily created encryption keys and wherein the encoding and decoding processes are performed extremely rapidly, and has low memory requirements. The encoding and decoding processes use both the addition and multiplication operat

The public key encryption system of the present invention has short and easily created encryption keys and wherein the encoding and decoding processes are performed extremely rapidly, and has low memory requirements. The encoding and decoding processes use both the addition and multiplication operations in a ring modulo with two different ideals. The cryptosystem of the present invention allows encryption keys to be chosen essentially at random from a large set of binary vectors, for which key lengths are comparable to the key lengths of the most widely used prior art cryptosystems. The present invention features an appropriate security level (.about.2.sup.80), with encoding and decoding processes ranging from approximately one to two orders of magnitude faster than the prior art, particularly the exponentiation cryptosystems.

대표청구항 ▼

[ We claim:] [1.] A method for encoding and decoding a digital message m, comprising the steps of:selecting ideals p and q of a ring R;generating elements f and g of the ring R, and generating element F.sub.q which is an inverse of f (mod q), and generating element F.sub.p which is an inverse of f (

[ We claim:] [1.] A method for encoding and decoding a digital message m, comprising the steps of:selecting ideals p and q of a ring R;generating elements f and g of the ring R, and generating element F.sub.q which is an inverse of f (mod q), and generating element F.sub.p which is an inverse of f (mod p);producing a public key that includes h, where h is congruent, mod q, to a product that can be derived using g and F.sub.q ;producing a private key from which f and F.sub.p can be derived;producing an encoded message e by encoding the message m using the public key and a random element .o slashed.; andproducing a decoded message by decoding the encoded message e using the private key.