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Title:
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
Authors: Masao KASAHARA
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.
ePrint: https://eprint.iacr.org/2014/568
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