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

Masao Kasahara

##### Abstract

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: \begin{description} \item [(i)] It realizes an abundant supply of PKCs, yielding more secure PKCs. \item [(i\hspace{-.1em}i)] It realizes a fast encryption and decryption process. \end{description}

Available format(s)
Category
Public-key cryptography
Publication info
Published elsewhere. SCIS 2005 (The 2005 Symposium on Cryptography and Information Security)
Keywords
algebraic codingrandom codingpublic-key cryptosystem
Contact author(s)
kasahara @ utc osaka-gu ac jp
History
Short URL
https://ia.cr/2005/023

CC BY

BibTeX

@misc{cryptoeprint:2005/023,
author = {Masao Kasahara},
title = {A Construction of Public-Key Cryptosystem Using Algebraic Coding on the Basis of Superimposition and Randomness},
howpublished = {Cryptology ePrint Archive, Paper 2005/023},
year = {2005},
note = {\url{https://eprint.iacr.org/2005/023}},
url = {https://eprint.iacr.org/2005/023}
}

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