| Title | Cyclic codes as invariant subspaces |
| Publication Type | Journal Article |
| Year of Publication | 2008 |
| Authors | Radkova D, Bojilov A |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 98 |
| Keywords | cyclic codes, invariant subspaces |
| Abstract | 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 |
| Attachment | Size |
|---|---|
 98-171-179.pdf | 744.22 KB |