Reed-Muller codes and permutation decoding

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

11 Dyfyniadau(SciVal)

Crynodeb

We show that the first- and second-order Reed–Muller codes, and , can be used for permutation decoding by finding, within the translation group, (m−1)- and (m+1)-PD-sets for for m≥5,6, respectively, and (m−3)-PD-sets for for m≥8. We extend the results of Seneviratne [P. Seneviratne, Partial permutation decoding for the first-order Reed-Muller codes, Discrete Math., 309 (2009), 1967–1970].
Iaith wreiddiolSaesneg
Tudalennau (o-i)3114-3119
Nifer y tudalennau6
CyfnodolynDiscrete Mathematics
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 28 Tach 2010

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