Monomial codes seen as invariant subspaces

• Autorzy: María Isabel García-Planas , Dolors Maria Magret , Laurence Emilie Um
• Języki publikacji: EN

Abstrakty

EN

It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known. In this paper a generalization of this relationship is presented between monomial codes over a finite field 𝔽 and hyperinvariant subspaces of 𝔽n under an appropriate linear transformation. Using techniques of Linear Algebra it is possible to deduce certain properties for this particular type of codes, generalizing known results on cyclic codes.

Słowa kluczowe

EN

Monomial codes; Invariant subspaces

Kategorie tematyczne

• 94B15: Cyclic codes
• 15B33: Matrices over special rings (quaternions, finite fields, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1099-1107

Daty

wydano

2017-01-01

otrzymano

2016-05-02

zaakceptowano

2017-05-17

online

2017-08-19

Twórcy

autor

María Isabel García-Planas

• , ,

autor

Dolors Maria Magret

• , ,

autor

Laurence Emilie Um

• , ,

Identyfikatory

DOI

10.1515/math-2017-0093