# Generating quasigroups for cryptographic applications

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 4, page 559-569
- ISSN: 1641-876X

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topKościelny, Czesław. "Generating quasigroups for cryptographic applications." International Journal of Applied Mathematics and Computer Science 12.4 (2002): 559-569. <http://eudml.org/doc/207612>.

@article{Kościelny2002,

abstract = {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.},

author = {Kościelny, Czesław},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {quasigroups; stream-ciphers; latin squares; cryptography; Latin squares},

language = {eng},

number = {4},

pages = {559-569},

title = {Generating quasigroups for cryptographic applications},

url = {http://eudml.org/doc/207612},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Kościelny, Czesław

TI - Generating quasigroups for cryptographic applications

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 4

SP - 559

EP - 569

AB - 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.

LA - eng

KW - quasigroups; stream-ciphers; latin squares; cryptography; Latin squares

UR - http://eudml.org/doc/207612

ER -

## References

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