New lower bounds for the minimum distance ofgeneralized algebraic geometry codes

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Abstract

In this paper we give a new lower bound for generalized algebraic geometrycodes with which we are able to construct some new linear codes having betterparameters compared with the ones known in the literature. Moreover, we givea relationship between a family of generalized algebraic geometry codes andalgebraic geometry codes. Finally, we propose a decoding algorithm for such afamily.
Lingua originaleEnglish
Numero di pagine13
RivistaJournal of Pure and Applied Algebra
Volume217(6)
Stato di pubblicazionePublished - 2013

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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