Paper 2010/139 Original: eprint.iacr.org/2010/139 ↗

A New Class of Public Key Cryptosystems Constructed Based on Perfect Error-Correcting Codes Realizing Coding Rate of Exactly 1.0

Masao Kasahara
Abstract

In this paper, we propose a new method for constructing the public-key cryptosystems based on a class of perfect error-correcting codes. The constructed PKC is referred to as K(IV)SE(1)PKC. In K(IV)SE(1)PKC, members of the class of perfect error correcting codes such as (7,4,3) cyclic Hamming code and (3,1,3) code {000,111} is used, yielding a simple process of encryption and decryption. The K(IV)SE(1)PKC has a remarkable feature that the coding rate can take on exactly 1.0 due to the use of perfect codes. Besides the size of the public key for K(IV)SE(1)PKC can be made smaller than that of the McEliece PKC.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2010-03-14: last updated
2010-03-14: published
Short URL
https://ia.cr/2010/139
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2010/139,
      author = {Masao Kasahara},
      title = {A New Class of Public Key Cryptosystems Constructed Based on Perfect Error-Correcting Codes Realizing Coding Rate of Exactly 1.0},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/139},
      year = {2010},
      url = {https://eprint.iacr.org/2010/139}
}
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