Glasnik matematički, Vol. 47 No. 2, 2012.
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
Publication date:
19.12.2012.
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