Presentation 2014-09-05
New Classes of Multivariate Public Key Cryptosystem, K(X)RSE(2)PKC and K_M(X)RSE(2)PKC Constructed based on Reed-Solomon Code, along with K(XI)RSE(2)PKC
Masao KASAHARA,
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Abstract(in English) Extensive studies have been made of the public key cryptosystems based on multivariate polynomials (Multi-variate PKC, MPKC) over F_2 and F_<2^m>. However most of the proposed MPKC are proved not secure. In this paper, we first propose a new class of MPKC based on Reed-Solomon code, referred to as K(X)RSE(2)PKC. We then propose the modified version of K(X)RSE(2)PKC, referred to as K_M(X)RSE(2)PKC that yields the coding rate of 1.0. We show that the proposed scheme can be secure against the possible attacks, including Grobner basis attack. In Appendix we present K(XI)RSE(2)PKC.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Public-key cryptosystem / Multivariate polynomials / Grobner basis attack / Multivariate PKC
Paper # ISEC2014-47
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Committee ISEC
Conference Date 2014/8/29(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) New Classes of Multivariate Public Key Cryptosystem, K(X)RSE(2)PKC and K_M(X)RSE(2)PKC Constructed based on Reed-Solomon Code, along with K(XI)RSE(2)PKC
Sub Title (in English)
Keyword(1) Public-key cryptosystem
Keyword(2) Multivariate polynomials
Keyword(3) Grobner basis attack
Keyword(4) Multivariate PKC
1st Author's Name Masao KASAHARA
1st Author's Affiliation Research Institute for Science and Engineerging, Waseda University:Research and Development Initiative, Chuo University()
Date 2014-09-05
Paper # ISEC2014-47
Volume (vol) vol.114
Number (no) 203
Page pp.pp.-
#Pages 7
Date of Issue