Further improvements on the designed minimum distance of algebraic geometry codes

• Autores: Cem Güneri, Henning Stichtenoth, Ihsan Taskin
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 1, 2009, págs. 87-97
• Idioma: inglés
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• Resumen

  • In the literature about algebraic geometry codes one finds a lot of results improving Goppa�s minimum distance bound. These improvements often use the idea of �shrinking� or �growing� the defining divisors of the codes under certain technical conditions. The main contribution of this article is to show that most of these improvements can be obtained in a unified way from one (rather simple) theorem. Our result does not only simplify previous results but it also improves them further.