Cryptology ePrint Archive: Report 2013/363

A New Class of Public Key Cryptosystems Constructed Based on Reed-Solomon Codes, K(XII)SE(1)PKC.-- Along with a presentation of K(XII)SE(1)PKC over the extension field extensively used for present day various storage and transmission systems --


Abstract: In this paper, we present a new class of public key cryptosystem based on Reed-Solomon codes, a member of the code based PKC(CBPKC), referred to as K(XII)SE(1)PKC. We show that K(XII)SE(1)PKC can be secure against the various attacks. Particularly we present a member of K(XII)SE(1)PKC constructed based on the Reed-Solomon code over the extension field, which is extensively used in the present day storage systems and the various digital transmission systems. In a sharp contrast with the conventional CBPKC that uses Goppa code, in K(XII)SE(1)PKC, we do not care for the security of the primitive polynominal that generates the Reed-Solomon code. The probabilistic scheme presented in this paper would yield a brand-new technique in the field of CBPKC.

Category / Keywords: Public Key Cryptosystem, Error-Correcting Code, Reed-Solomon code, CBPKC, McEliece PKC

Date: received 9 Jun 2013, last revised 14 Jun 2013

Contact author: kasahara at ogu ac jp

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Version: 20130615:053537 (All versions of this report)

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