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

14 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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title = "Notes on generalized Hamming weights of some classes of binary codes",

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.",

keywords = "Generalized Hamming weight, Secret sharing scheme, Trace function, Weight distribution",

author = "Zihui Liu and Jinliang Wang",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2020",

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AU - Liu, Zihui

AU - Wang, Jinliang

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AB - 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.

KW - Generalized Hamming weight

KW - Secret sharing scheme

KW - Trace function

KW - Weight distribution

UR - https://www.scopus.com/pages/publications/85074706328

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DO - 10.1007/s12095-019-00404-3

M3 - Article

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JF - Cryptography and Communications

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ER -

Notes on generalized Hamming weights of some classes of binary codes

Abstract

Keywords

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