Cyclic codes as invariant subspaces

ЗаглавиеCyclic codes as invariant subspaces
Вид публикацияJournal Article
Година на публикуване2008
АвториRadkova D, Bojilov A
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том98
ключови думиcyclic codes, invariant subspaces
Резюме

The description of the linear cyclic codes as ideals in the algebra $\frak F_n=F[x]/(x^n-1)$, where $F$ is a finite field, is well known in the coding theory. The map cyclic shift is a linear operator in $F^n$. Our aim is to consider a new method of describing the cyclic codes as invariant subspaces of $F^n$ regarding this operator.

2000 MSC

main 94B15, secondary 47A15

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