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

Authors:
Masao Kasahara
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URL: http://eprint.iacr.org/2005/023
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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}
BibTeX
@misc{eprint-2005-12362,
  title={A Construction of Public-Key Cryptosystem Using Algebraic Coding on the Basis of Superimposition and Randomness},
  booktitle={IACR Eprint archive},
  keywords={public-key cryptography / algebraic coding, random coding, public-key cryptosystem},
  url={http://eprint.iacr.org/2005/023},
  note={SCIS 2005 (The 2005 Symposium on Cryptography and Information Security) kasahara@utc.osaka-gu.ac.jp 12812 received 28 Jan 2005},
  author={Masao Kasahara},
  year=2005
}