On m-inverse loops and quasigroups with a long inverse cycle
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KEEDWELL, Anthony Donald, SHCHERBACOV, Victor. On m-inverse loops and quasigroups with a long inverse cycle. In: Australasian Journal of Combinatorics, 2002, vol. 26, pp. 99-119. ISSN 1034-4942.
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Australasian Journal of Combinatorics
Volumul 26 / 2002 / ISSN 1034-4942 /ISSNe 2202-3518

On m-inverse loops and quasigroups with a long inverse cycle


Pag. 99-119

Keedwell Anthony Donald1, Shcherbacov Victor2
 
1 University of Surrey,
2 Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 5 martie 2024


Rezumat

In an earlier paper, we showed that CI-loops and quasigroups with long inverse cycles have certain properties which make them particularly appropriate for use in cryptography. The same is true of the generalized structures called m-inverse loops and quasigroups. Here, we investigate the existence of such structures (initially for small orders).

Cuvinte-cheie
Moufang loop, quasigroup, order