Original scientific paper

https://doi.org/10.3336/gm.47.2.09

Shapeless quasigroups derived by Feistel orthomorphisms

Aleksandra Mileva ; Faculty of Computer Science, University "Goce Delčev", 2000 Štip, Republic of Macedonia
Smile Markovski ; Faculty of Computer Science and Engineering, University "Ss Cyril and Methodius", 1000 Skopje, Republic of Macedonia

Abstract

Shapeless quasigroups are needed for cryptography purposes. In this paper, we construct shapeless quasigroups by the diagonal method from orthomorphisms over abelian groups. We use generalizations of Feistel networks as orthomorphisms. We introduce parameters into several types of Extended Feistel networks and Generalized Feistel-non linear feedback shift registers and, by suitable choice of the parameter values, different shapeless quasigroup can be used in every application.

Keywords

Shapeless quasigroup; extended Feistel network; orthomorphism; generalized Feistel-non linear feedback shift register

Hrčak ID:

93948

URI

https://hrcak.srce.hr/93948

Publication date:

19.12.2012.

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