Cryptology ePrint Archive: Report 2014/568

New Classes of Public Key Cryptosystems over $F_2^8$ Constructed Based on Reed-Solomon Codes, K(XVII)SE(1)PKC and K(XVII)$\Sigma \Pi$PKC


Abstract: In this paper, we present new classes of public key cryptosystem over $F_2^8$ based on Reed-Solomon codes, referred to as K(XVII)SE(1)PKC and K(XVII)$\Sigma \Pi$PKC, a subclass of K(XVII)SE(1)PKC. We show that K(XVII)SE(1)PKC over $F_2^8$ can be secure against the various attacks. We also present K(XVII)$\Sigma \Pi$PKC over $F_2^8$, a subclass of K(XVII)SE(1)PKC. We show that any assertion of successfull attack on K(XVII)SE(1)PKC including K(XVII)$\Sigma \Pi$PKC whose parameters are properly chosen is a coding theoretical contradiction. We thus conclude that K(XVII)SE(1)PKC and K(XVII)$\Sigma \Pi$PKC would be secure against the various attacks including LLL attack.

The schemes presented in this paper would yield brand-new techniques in the field of code-based PKC.

Category / Keywords: public-key cryptography / Public Key Cryptosystem, Error-Correcting Code, Reed-Solomon code, Code based PKC, McEliece PKC.

Original Publication (with major differences): oral presentation

Date: received 21 Jul 2014

Contact author: kasahara at ogu ac jp

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Version: 20140722:074025 (All versions of this report)

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