| 摘要 |
<p>A method and system for coding and decoding digital message, includes: choosing positive intergers m, n', wherein m = n'; generating a pubulic key containing E'(x), wherein E'(x) is a nonlinear mapping function group from (x1,..., xm) to (y1,..., xn') in domain F, and E'(x) includes n' functions, wherein the n' functions contain rational fraction functions about (x1,..., xm); generating a private key corresponding to the public key; then finishing the corresponding public/private key encryption/decryption process, or finishing the corresponding public/private key siganature authenticationprocess. The scale of the encryption functions is significantly enlarged. And the quadratic sparse polynomial is increased to thick polynomial, so that the scale of the polynomial functions equivalent to the public key is exploded. The difficulty to solve the reverse function of the infinitive equation group is increased essentially, so that the anti-cracking capability is significantly increased.</p> |
