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Codes that correct errors, and cryptosystems with an open key
N.D. Zyulyarkina
Abstract
The class of tasks for creation of cryptosystems with an open key is considered. The method based on use of the linear codes correcting rather large number of errors is used for creation of asymmetric cryptosystems.
Keywords
cryptosystems with an open key, linear codes, correction of mistakes
References
1.Diffie W, Hellman M.E. New Directions in Cryptography. IEEE Transactions on Information Theory,V. TI-22,1977, pp. 644-654.
2. ElGamal, T. A Public – Key Cryptosystem and Signature Scheme Based on Discrete Logarithms. IEEE Transactions on Information Theory, 31(4), 1985, pp. 469-472.
3. Niederreiter H. Knapsack – Type Cryptosystems and Algebraic Coding Theory. Prob. Contr. Inform. Theory, V.15(2), 1986, pp. 157–166.
4. Zyulyarkina N. D. [Cyclic $TI$ - Subgroups about 4 in Classical Groups of Chevalley of the Odd Characteristic]. Questions of Algebra and Logic. Works THEM of the Siberian Branch of the Russian Academy of Science, 1996, pp. 89–110. (in Russ.)
2. ElGamal, T. A Public – Key Cryptosystem and Signature Scheme Based on Discrete Logarithms. IEEE Transactions on Information Theory, 31(4), 1985, pp. 469-472.
3. Niederreiter H. Knapsack – Type Cryptosystems and Algebraic Coding Theory. Prob. Contr. Inform. Theory, V.15(2), 1986, pp. 157–166.
4. Zyulyarkina N. D. [Cyclic $TI$ - Subgroups about 4 in Classical Groups of Chevalley of the Odd Characteristic]. Questions of Algebra and Logic. Works THEM of the Siberian Branch of the Russian Academy of Science, 1996, pp. 89–110. (in Russ.)