[Resource Topic] 2014/711: New Class of Multivariate Public Key Cryptosystem, K(XI)RSE(2)PKC, Constructed based on Reed-Solomon Code Along with K(X)RSE(2)PKC over $\mathbb{F}_2$

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Title:
New Class of Multivariate Public Key Cryptosystem, K(XI)RSE(2)PKC, Constructed based on Reed-Solomon Code Along with K(X)RSE(2)PKC over \mathbb{F}_2

Authors: Masao KASAHARA

Abstract:

Extensive studies have been made of the public key cryptosystems based on multivariate polynomials (Multi-variate PKC, MPKC) over \mathbb{F}_2 and \mathbb{F}_2^m. However most of the proposed MPKC are proved not secure. In this paper, we propose a new class of MPKC based on Reed-Solomon code, referred to as K(XI)RSE(2)PKC. In Appendix, we present another class of MPKC referred to as K(X)RSE(2)PKC over \mathbb{F}_2. Both K(X)RSE(2)PKC and K(XI)RSE(2)PKC yield the coding rate of 1.0. We show that the proposed schemes can be sufficiently secure against various attacks, including Gröbner basis attack.

ePrint: https://eprint.iacr.org/2014/711

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