Abstract:

Matrix group of conic curve points was first created according to group theory and applied to the improved algorithm of Hill cipher as an instance. A group encryption system based on conic curve point sequence was constructed. Comparison of conic curve cryptography with ECC was made in the aspects of plaintext  embedment and order\|calculation. Safety performance of improved Hill encryption algorithm was discussed, too. The instance demonstrates the advantages of conic curve group cryptosystem in the  aspects of design and application. The algorithm has a definite practical value and popularizing significance.

Key words: conic curve, matrix groups of points, group encryption, finite field