Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2018; 55(3): 717-734

Online first article April 27, 2018      Printed May 31, 2018

https://doi.org/10.4134/BKMS.b170079

Copyright © The Korean Mathematical Society.

Complete weight enumerators of some classes of linear codes with a few weights

Yiwei Liu, Zihui Liu

Beijing Institute of Technology, Beijing Institute of Technology

Abstract

By choosing defining set properly, several classes of linear codes with a few weights over the finite field $\mathbb{F}_{p}$ are constructed for an odd prime $p$, and the complete weight enumerators of these classes of codes are determined.

Keywords: Gauss sum, trace function, authentication codes, secret sharing schemes, complete weight enumerators

MSC numbers: 94B05

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