On the weight distribution of some minimal codes

Daniele Bartoli; Matteo Bonini; Marco Timpanella

doi:10.1007/s10623-020-00826-8

On the weight distribution of some minimal codes

Daniele Bartoli^*, Matteo Bonini, Marco Timpanella

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

2 Citations (Scopus)

12 Downloads (Pure)

Abstract

Minimal codes are a class of linear codes which gained interest in the last years, thanks to their connections to secret sharing schemes. In this paper we provide the weight distributions and the parameters of families of minimal codes recently introduced by C. Tang, Y. Qiu, Q. Liao, Z. Zhou, answering some open questions.

Original language	English
Journal	Designs, Codes, and Cryptography
Volume	89
Issue number	3
Pages (from-to)	471-487
Number of pages	17
ISSN	0925-1022
DOIs	https://doi.org/10.1007/s10623-020-00826-8
Publication status	Published - Mar 2021
Externally published	Yes

Bibliographical note

Funding Information:
The research of D. Bartoli, M. Bonini, and M. Timpanella was partially supported by the Italian National Group for Algebraic and Geometric Structures and their Applications (GNSAGA-INdAM).

Publisher Copyright:
© 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Linear code
Minimal code
Weight distribution

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10.1007/s10623-020-00826-8

Distribuzione_pesi_minimaliAccepted author manuscript, 334 KB

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AU - Bonini, Matteo

AU - Timpanella, Marco

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PY - 2021/3

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N2 - Minimal codes are a class of linear codes which gained interest in the last years, thanks to their connections to secret sharing schemes. In this paper we provide the weight distributions and the parameters of families of minimal codes recently introduced by C. Tang, Y. Qiu, Q. Liao, Z. Zhou, answering some open questions.

AB - Minimal codes are a class of linear codes which gained interest in the last years, thanks to their connections to secret sharing schemes. In this paper we provide the weight distributions and the parameters of families of minimal codes recently introduced by C. Tang, Y. Qiu, Q. Liao, Z. Zhou, answering some open questions.

KW - Linear code

KW - Minimal code

KW - Weight distribution

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DO - 10.1007/s10623-020-00826-8

M3 - Journal article

AN - SCOPUS:85099240012

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JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 3

ER -

On the weight distribution of some minimal codes

Abstract

Bibliographical note

Keywords

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