Parity check systems of nonlinear codes over finite commutative frobenius rings

Tutkimustuotos: Lehtiartikkeli

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut409-427
Sivumäärä19
JulkaisuAdvances in Mathematics of Communications
Vuosikerta11
Lehden numero3
TilaJulkaistu - 2017
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

Tutkijat

Organisaatiot

Kuvaus

The concept of parity check matrices of linear binary codes has been extended by Heden [10] to parity check systems of nonlinear binary codes. In the present paper we extend this concept to parity check systems of nonlinear codes over finite commutative Frobenius rings. Using parity check systems, results on how to get some fundamental properties of the codes are given. Moreover, parity check systems and its connection to characters is investigated and a MacWilliams type theorem on the distance distribution is given.

ID: 15718872