Feedback equivalence of convolutional codes over finite rings

• Autorzy: Noemí DeCastro-García
• Języki publikacji: EN

Abstrakty

EN

The approach to convolutional codes from the linear systems point of view provides us with effective tools in order to construct convolutional codes with adequate properties that let us use them in many applications. In this work, we have generalized feedback equivalence between families of convolutional codes and linear systems over certain rings, and we show that every locally Brunovsky linear system may be considered as a representation of a code under feedback convolutional equivalence.

Słowa kluczowe

EN

Convolutional codes; Linear systems; Feedback equivalence; Finite rings; Coding theory

Kategorie tematyczne

• 94B10: Convolutional codes
• 93B20: Minimal systems representations
• 13C10: Projective and free modules and ideals
• 93C05: Linear systems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1495-1508

Daty

wydano

2017-01-01

otrzymano

2016-11-14

zaakceptowano

2017-10-20

online

2017-12-29

Twórcy

autor

Noemí DeCastro-García

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Identyfikatory

DOI

10.1515/math-2017-0124