Abstract: The key agreement protocol (KAP) using elliptic curve matrix power function is presented. This function pretends be a one-way function since its inversion is related with bilinear equation solution over elliptic curve group. The matrix of elliptic curve points is multiplied from left and right by two matrices with entries in Zn. Some preliminary security considerations are presented.

Keywords: key agreement protocol, elliptic curve cryptography, NP-complete problem.

ACM Classification Keywords: E.3 Data Encryption, F.2.1 Numerical Algorithms and Problems.

Link:

KEY AGREEMENT PROTOCOL USING ELLIPTIC CURVE MATRIX POWER FUNCTION*

Artūras Katvickis, Paulius Vitkus

http://www.foibg.com/ibs_isc/ibs-04/IBS-04-p16.pdf