On evaluation codes coming from a tower of function fields. (November 2018)

• Record Type: Journal Article
• Authors: Carvalho, Cícero; Chara, María; Quoos, Luciane
• Is Part Of: Journal of symbolic computation. Volume 89(2018)
• Page Start: 121
• Page End: 128
• Publication Date: 2018-11
• Subjects: 11G20 -- 94B05 -- 13P10; Towers of function fields -- Codes -- Gröbner basis; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2017.11.008
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: In this work we present the construction of evaluation codes defined from data coming from a tower of function fields. We use tools from Gröbner basis theory to calculate the dimension and find a lower bound for the minimum distance of these codes.