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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 2006 E89-A(1):47-54; doi:10.1093/ietfec/e89-a.1.47
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Copyright © 2006 The Institute of Electronics, Information and Communication Engineers

Special Section on Cryptography and Information Security -- Papers -- Public Key Cryptography

A Construction of Public-Key Cryptosystem Using Algebraic Coding on the Basis of Superimposition and Randomness

Masao KASAHARA1

1 The author is with the Faculty of Informatics, Osaka Gakuin University, Suita-shi, 564-8511 Japan. E-mail: kasahara{at}utc.osaka-gu.ac.jp

In this paper, we present a new class of public-key cryptosystem (PKC) using algebraic coding on the basis of superimposition and randomness. The proposed PKC is featured by a generator matrix, in a characteristic form, where the generator matrix of an algebraic code is repeatedly used along with the generator matrix of a random code, as sub-matrices. This generator matrix, in the characteristic form, will be referred to as K-matrix. We show that the K-matrix yields the following advantages compared with the conventional schemes: (i) It realizes an abundant supply of PKCs, yielding more secure PKCs, (ii) It realizes a short public key.

Key Words: algebraic coding, random coding, public-key cryptosystem

Manuscript received March 22, 2005. Manuscript revised July 31, 2005. Final manuscript received September 2, 2005.


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