[Resource Topic] 2005/023: A Construction of Public-Key Cryptosystem Using Algebraic Coding on the Basis of Superimposition and Randomness

Welcome to the resource topic for 2005/023

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

Authors: 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}

ePrint: https://eprint.iacr.org/2005/023

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