Evaluation of the weight distribution of a class of cyclic codes based on index 2 Gauss sums

2012/06/15 by Tao Feng, Feng, Tao, Koji Momihara +1 · 1 citation
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Mathematics #graph theory and CDMA systems #math.CO

paper · pdf · doi:10.48550/arxiv.1206.3354

9 pages

arxiv created 2012/06/15 · openalex publication_date 2012/06/15 · arxiv updated 2012/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The duals of cyclic codes with two zeros have been extensively studied, and their weight distributions have recently been evaluated in some cases. In this note, we determine the weight distribution of a certain new class of such codes by computations involving index 2 Gauss sums.

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