On the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroups

Author:

Farrán José I.,García-Sánchez Pedro A.,Heredia Benjamín A.

Funder

Secretaría de Estado de Investigación, Desarrollo e Innovación

Agencia de Innovación y Desarrollo de Andalucía

Fundação para a Ciência e a Tecnologia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference25 articles.

1. Apéry R.: Sur les branches superlinéaires des courbes algébriques. C. R. Acad. Sci. Paris 222, 1198–1200 (1946).

2. RSME Springer Series;Abdallah Assi,2016

3. Barucci V., D’Anna M., Fröberg R.: Arf characters of an algebroid curve. JP J. Algebra Number Theory Appl. 3(2), 219–243 (2003).

4. Bras-Amorós M.: Improvements to evaluation codes and new characterizations of Arf semigroups. In: Mora T., Mattson H.F. (eds.) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. Lecture Notes in Computer Science. Springer, Toulouse (2013).

5. Bras-Amorós M.: Acute semigroups, the order bound on the minimum distance, and the Feng-Rao improvements. IEEE Trans. Inf. Theory 50, 1282–1289 (2004).

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