Public key cryptography and error correcting codes as Ising models
Contribuinte(s) |
P. Sollich, L.P. Hughston Streater, R.F. |
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Data(s) |
09/02/2001
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Resumo |
We employ the methods of statistical physics to study the performance of Gallager type error-correcting codes. In this approach, the transmitted codeword comprises Boolean sums of the original message bits selected by two randomly-constructed sparse matrices. We show that a broad range of these codes potentially saturate Shannon's bound but are limited due to the decoding dynamics used. Other codes show sub-optimal performance but are not restricted by the decoding dynamics. We show how these codes may also be employed as a practical public-key cryptosystem and are of competitive performance to modern cyptographical methods. |
Formato |
application/pdf |
Identificador |
http://eprints.aston.ac.uk/1300/1/NCRG_2001_008.pdf Saad, David; Kabashima, Yoshiyuki and Murayama, Tatsuto (2001). Public key cryptography and error correcting codes as Ising models. IN: Disordered and complex systems. P. Sollich, L.P. Hughston and Streater, R.F. (eds) New york: American Institute of Physics. |
Publicador |
American Institute of Physics |
Relação |
http://eprints.aston.ac.uk/1300/ |
Tipo |
Book Section NonPeerReviewed |