Recursively r-dierentiable quasigroups within S-systems and MDS-codes
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BELEAVSCAIA, Galina. Recursively r-dierentiable quasigroups within S-systems and MDS-codes. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 2(28), pp. 157-168. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 2(28) / 2012 / ISSN 1561-2848

Recursively r-dierentiable quasigroups within S-systems and MDS-codes

Pag. 157-168

Beleavscaia Galina
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

We study recursively r-dierentiable binary quasigroups and such quasigroups with an additional property (strongly recursively r-dierentiable quasigroups). These quasigroups we nd in S-systems of quasigroups and give a lower bound of the parameters of idempotent 2-recursive MDS-codes that respect to strongly recursively r-dierentiable quasigroups. Some illustrative examples are given.

Cuvinte-cheie
quasigroup,

S-system of quasigroups, orthogonal operations