Supersingular curves over finite fields and weight divisibility of codes

Warning The system is temporarily closed to updates for reporting purpose.

Güneri, Cem and McGuire, Gary (2014) Supersingular curves over finite fields and weight divisibility of codes. Journal of Computational and Applied Mathematics, 259 (Part: ). pp. 474-484. ISSN 0377-0427 (Print) 1879-1778 (Online)

This is the latest version of this item.

[thumbnail of supsing-accepted_version.pdf] PDF
supsing-accepted_version.pdf
Restricted to Registered users only

Download (325kB) | Request a copy

Abstract

Motivated by a recent article of the second author, we relate a family of Artin-Schreier type curves to a sequence of codes. We describe the algebraic structure of these codes, and we show that they are quasi-cyclic codes. We show that if the family of Artin-Schreier type curves consists of supersingular curves then the weights in the related codes are divisible by a certain power of the characteristic. We give some applications of the divisibility result, including showing that some weights in certain cyclic codes are eliminated in subcodes.
Item Type: Article
Uncontrolled Keywords: Supersingular curve, cyclic code, quasi-cyclic code, trace representation
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Cem Güneri
Date Deposited: 23 Feb 2014 22:09
Last Modified: 26 Apr 2022 09:12
URI: https://research.sabanciuniv.edu/id/eprint/24023

Available Versions of this Item

Actions (login required)

View Item
View Item