On the Minimum Distance of One-Point Castle AG Codes

Ingeniería y Ciencia

Granados Pinzón, Claudia¹  Olaya León, Wilson¹ 

[1] Universidad Industrial de Santander, Bucaramanga, Colombia

关键词: Error-correcting codes;    AG codes;    minimum distance;    Hermitian codes;   

DOI  :  

学科分类：工程和技术（综合）

来源: Universidad E A F I T

【 摘 要 】

We present a characterization of the lower bound d* for minimum distance of algebraic geometry one-point codes coming from castle curves. This article shows explicit calculations of this bound in the case of a Weierstrass semigroup generated by two consecutive elements. In particular, we obtain a simple characterization of the exact value of the minimum distance Hermitian codes.

【 授权许可】

Unknown