Notes on generalized Hamming weights of some classes of binary codes

Zihui Liu; Jinliang Wang

doi:10.1007/s12095-019-00404-3

Notes on generalized Hamming weights of some classes of binary codes

Zihui Liu^*, Jinliang Wang

^*Corresponding author for this work

School of Mathematics and Statistics

Liaocheng University

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

7 Citations (Scopus)

Abstract

Some classes of binary codes constructed by using some defining sets are studied, and for most defining sets, we will determine the generalized Hamming weight of the corresponding codes completely, and for other defining sets, we will determine part of the generalized Hamming weight of the corresponding codes.

Original language	English
Pages (from-to)	645-657
Number of pages	13
Journal	Cryptography and Communications
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/s12095-019-00404-3
Publication status	Published - 1 Jul 2020

Keywords

Generalized Hamming weight
Secret sharing scheme
Trace function
Weight distribution

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10.1007/s12095-019-00404-3

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Liu, Z., & Wang, J. (2020). Notes on generalized Hamming weights of some classes of binary codes. Cryptography and Communications, 12(4), 645-657. https://doi.org/10.1007/s12095-019-00404-3

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KW - Weight distribution

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Notes on generalized Hamming weights of some classes of binary codes

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