Generalized Hamming weights of three classes of linear codes☆

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Abstract

The generalized Hamming weights of a linear code have been extensively studied since Wei first use them to characterize the cryptography performance of a linear code over the wire-tap channel of type II. In this paper, we investigate the generalized Hamming weights of three classes of linear codes constructed through defining sets and determine them partly for some cases. Particularly, in the semiprimitive case we solve a problem left in Yang et al. (2015) [30].

MSC

94B05
11T22
11T23

Keywords

Linear codes
Generalized Hamming weights
Gauss periods

Cited by (0)

☆

The paper is supported by the National Natural Science Foundation of China (No. 61370187 and No. U1636104). The third author is supported by the General program of science and technology development project of Beijing Municipal Education Commission (No. KM201510009013) and Beijing Natural Science Foundation (No. 1132009).

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