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 $\mathbb{F}_2$

Masao KASAHARA

Paper 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 $\mathbb{F}_2$

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.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Major revision. oral presentation
Keywords: Public-key cryptosystem Gröbner basis attack Multivariate PKC Code-based PKC
Contact author(s): kasahara @ ogu ac jp
History: 2014-09-11: received
Short URL: https://ia.cr/2014/711
License: CC BY

BibTeX

@misc{cryptoeprint:2014/711,
      author = {Masao KASAHARA},
      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 $\mathbb{F}_2$},
      howpublished = {Cryptology {ePrint} Archive, Paper 2014/711},
      year = {2014},
      url = {https://eprint.iacr.org/2014/711}
}