Paper 2014/711 Original: eprint.iacr.org/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 $\mathbb{F}_2$
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
- Preprint.
- History
- 2014-09-11: last updated
- 2014-09-11: published
- Short URL
- https://ia.cr/2014/711
- License
- https://creativecommons.org/licenses/by/4.0/
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}
}