In this paper we give a new lower bound for generalized algebraic geometry codes with which we are able to construct some new linear codes having better parameters compared with the ones known in the literature. Moreover, we give a relationship between a family of generalized algebraic geometry codes and algebraic geometry codes. Finally, we propose a decoding algorithm for such a family.

Picone, A. (2013). New lower bounds for the minimum distance of generalized algebraic geometry codes. JOURNAL OF PURE AND APPLIED ALGEBRA, 217(6) [10.1016/j.jpaa.2012.10.004].

New lower bounds for the minimum distance of generalized algebraic geometry codes

PICONE, Alberto
2013

Abstract

In this paper we give a new lower bound for generalized algebraic geometry codes with which we are able to construct some new linear codes having better parameters compared with the ones known in the literature. Moreover, we give a relationship between a family of generalized algebraic geometry codes and algebraic geometry codes. Finally, we propose a decoding algorithm for such a family.
Settore MAT/03 - Geometria
Picone, A. (2013). New lower bounds for the minimum distance of generalized algebraic geometry codes. JOURNAL OF PURE AND APPLIED ALGEBRA, 217(6) [10.1016/j.jpaa.2012.10.004].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/69709
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