05994106

j

05994106 Matsuoka, Manabu $\theta$-polycyclic codes and $\theta$-sequential codes over finite fields. Int. J. Algebra 5, No. 1-4, 65-70 (2011). 2011 Hikari Ltd, Ruse EN finite fields $\theta $-polycyclic codes $\theta $-sequential codes skew polynomial rings

http://www.m-hikari.com/ija/ija-2011/ija-1-4-2011/index.html

Summary: In this paper we generalize the notion of cyclicity of codes, that is, $\theta $-polycyclic codes and $\theta $-sequential codes. It is shown that for a code $C$, $C$ is $\theta $-polycyclic ($\theta $-sequential) if and only if its dual $C^\perp $ is $\theta ^{-1}$-sequential ($\theta ^{-1}$-polycyclic). Furthermore, we study central $\theta $-constacyclic codes.