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Content available remote Generating quasigroups for cryptographic applications
100%
Kościelny C.
International Journal of Applied Mathematics and Computer Science
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2002
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tom 12
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nr 4
559-569
EN
A method of generating a practically unlimited number of quasigroups of a (theoretically) arbitrary order using the computer algebra system Maple 7 is presented. This problem is crucial to cryptography and its solution permits to implement practical quasigroup-based endomorphic cryptosystems. The order of a quasigroup usually equals the number of characters of the alphabet used for recording both the plaintext and the ciphertext. From the practical viewpoint, the most important quasigroups are of order 256, suitable for a fast software encryption of messages written down in the universal ASCII code. That is exactly what this paper provides: fast and easy ways of generating quasigroups of order up to 256 and a little more.
2
Content available remote Generating quasigroups for cryptographic applications
75%
Kościelny C.
International Journal of Applied Mathematics and Computer Science
|
2002
|
tom Vol. 12, no 4
559-569
EN
A method of generating a practically unlimited number of quasigroups of a (theoretically) arbitrary order using the computer algebra system Maple 7 is presented. This problem is crucial to cryptography and its solution permits to implement practical quasigroup-based endomorphic cryptosystems. The order of a quasigroup usually equals the number of characters of the alphabet used for recording both the plaintext and the ciphertext. From the practical viewpoint, the most important quasigroups are of order 256, suitable for a fast software encryption of messages written down in the universal ASCII code. That is exactly what this paper provides: fast and easy ways of generating quasigroups of order up to 256 and a little more.
3
Content available remote A Quasigroup-Based Public-Key Cryptosystem
63%
Kościelny C. , Mullen G. L.
International Journal of Applied Mathematics and Computer Science
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1999
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tom Vol. 9, no 4
955-963
EN
A public-key cryptosystem, using generalized quasigroup-based streamciphers is presented. It is shown that such a cryptosystem allows one to transmit securely both a cryptogram and a secret portion of the enciphering key using the same insecure channel. The system is illustrated by means of a simple, but non-trivial, example.
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