On random error correcting codes based on quasigroups
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POPOVSKA-MITROVIKJ, Aleksandra, BAKEVA, Verica, MARKOVSKI, Smile. On random error correcting codes based on quasigroups. In: Quasigroups and Related Systems, 2011, vol. 19, nr. 2(26), pp. 301-316. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 19, Numărul 2(26) / 2011 / ISSN 1561-2848

On random error correcting codes based on quasigroups

Pag. 301-316

Popovska-Mitrovikj Aleksandra, Bakeva Verica, Markovski Smile
 
Ss. Cyril and Methodius University in Skopje
 
 
Disponibil în IBN: 8 decembrie 2013


Rezumat

Random error-correcting codes based on quasigroups transformations are proposed elsewhere. They are similar to convolution codes and the dependence of the properties of the codes from the used quasigroups are investigated in earlier paper of ours. In this paper we compare the Random error correcting codes based on quasigroups with the well know Reed-Muller and Reed-Solomon codes. The obtained experimental results show that in the case when the bit-error probability of binary symmetric channel is p > 0.05 (p > 0.06) then the random codes based on quasigroups over perform the Reed-Muller and Reed-Solomon codes for the packet-error probability (for the bit-error probability)..

Cuvinte-cheie
quasigroup,

quasigroup transformation, error-correcting code, random code, Reed-Muller code