On some classes of codes with a few weights

Yiwei Liu; Zihui Liu

doi:10.3934/amc.2018025

On some classes of codes with a few weights

Yiwei Liu, Zihui Liu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We generalize the code constructed recently by Wang et al, and obtain many classes of codes with a few weights. The weight distribution of these codes is completely determined, and the minimum distance of the duals of these codes is determined. We also show that some subclasses of the duals of these codes are optimal. Furthermore, some parameters of the generalized Hamming weight of these codes are calculated in certain cases.

Original language	English
Pages (from-to)	415-428
Number of pages	14
Journal	Advances in Mathematics of Communications
Volume	12
Issue number	2
DOIs	https://doi.org/10.3934/amc.2018025
Publication status	Published - 2018

Keywords

Generalized Hamming weight
Primitive root
Secret sharing scheme
Trace function
Weight distribution

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10.3934/amc.2018025

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Liu, Y., & Liu, Z. (2018). On some classes of codes with a few weights. Advances in Mathematics of Communications, 12(2), 415-428. https://doi.org/10.3934/amc.2018025

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KW - Secret sharing scheme

KW - Trace function

KW - Weight distribution

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On some classes of codes with a few weights

Abstract

Keywords

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