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A Construction of Public-Key Cryptosystem Based on Singular Simultaneous Equations

Masao KASAHARA, Ryuichi SAKAI

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Summary :

Extensive studies have been made of the public key cryptosystems based on multivariate polynomials over F2. However most of the proposed public key cryptosystems based on multivariate polynomials, are proved not secure. In this paper, we propose several types of new constructions of public key cryptosystems based on randomly generated singular simultaneous equations. One of the features of the proposed cryptosystems is that the sets of random singular simultaneous equations significantly enlarges the size of the transformation.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.1 pp.74-80
Publication Date
2005/01/01
Publicized
Online ISSN
DOI
10.1093/ietfec/e88-a.1.74
Type of Manuscript
Special Section PAPER (Special Section on Cryptography and Information Security)
Category
Public Key Cryptography

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