Presentation of a new class of public key cryptosystems K(XIII)SE(1)PKC along with Kp(XIII)SE(1)PKC that realizes the coding rate of exactly 1.0, constructed by modifying K(XII)SE(1)PKC

In this paper, we present a new class of public key cryptosystems by modifying K(XII)SE(1)PKC [1], referred to as K(XIII)SE(1)PKC, and a particular class of K(XIII)SE(1)PKC, Kp(XIII)SE(1)PKC. We show that K(XIII)SE(1)PKC would improve both the coding rate and the security, compared with K(XII)SE(1)PKC. We also show that Kp(XIII)SE(1)PKC realizes the coding rate of exactly 1.0. In a sharp contrast with the conventional code based PKC (CB·PKC) that uses Goppa code, in K(XII)SE(1)PKC, K(XIII)SE(1)PKC and Kp(XIII)SE(1)PKC, we do not care for the security of the primitive polynominal that generates the Reed-Solomon code.