About a class of Hadamard propelinear codes

J. Rifà i Coma; E. Suárez Canedo

doi:https://doi.org/10.1016/j.endm.2014.08.038

About a class of Hadamard propelinear codes

J. Rifà i Coma, E. Suárez Canedo

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

5 Citations (Scopus)

Abstract

© 2014 Elsevier B.V. This article aims to explore the algebraic structure of Hadamard propelinear codes, which are not abelian in general but they have good algebraic and combinatorial properties. We construct a subclass of Hadamard propelinear codes which enlarges the family of the Hadamard translation invariant propelinear codes. Several papers have been devoted to the relations between difference sets, t-designs, cocyclic-matrices and Hadamard groups, and we present a link between them and a class of Hadamard propelinear codes, which we call full propelinear. Finally, as an exemplification, we provide a full propelinear structure for all Hadamard codes of length sixteen.

Original language	English
Pages (from-to)	289-296
Journal	Electronic Notes in Discrete Mathematics
Volume	46
DOIs	https://doi.org/10.1016/j.endm.2014.08.038
Publication status	Published - 1 Jan 2014

Keywords

Full propelinear codes
Hadamard group
Propelinear code

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https://doi.org/10.1016/j.endm.2014.08.038

https://ddd.uab.cat/record/142850

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title = "About a class of Hadamard propelinear codes",

abstract = "{\textcopyright} 2014 Elsevier B.V. This article aims to explore the algebraic structure of Hadamard propelinear codes, which are not abelian in general but they have good algebraic and combinatorial properties. We construct a subclass of Hadamard propelinear codes which enlarges the family of the Hadamard translation invariant propelinear codes. Several papers have been devoted to the relations between difference sets, t-designs, cocyclic-matrices and Hadamard groups, and we present a link between them and a class of Hadamard propelinear codes, which we call full propelinear. Finally, as an exemplification, we provide a full propelinear structure for all Hadamard codes of length sixteen.",

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AU - Suárez Canedo, E.

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N2 - © 2014 Elsevier B.V. This article aims to explore the algebraic structure of Hadamard propelinear codes, which are not abelian in general but they have good algebraic and combinatorial properties. We construct a subclass of Hadamard propelinear codes which enlarges the family of the Hadamard translation invariant propelinear codes. Several papers have been devoted to the relations between difference sets, t-designs, cocyclic-matrices and Hadamard groups, and we present a link between them and a class of Hadamard propelinear codes, which we call full propelinear. Finally, as an exemplification, we provide a full propelinear structure for all Hadamard codes of length sixteen.

AB - © 2014 Elsevier B.V. This article aims to explore the algebraic structure of Hadamard propelinear codes, which are not abelian in general but they have good algebraic and combinatorial properties. We construct a subclass of Hadamard propelinear codes which enlarges the family of the Hadamard translation invariant propelinear codes. Several papers have been devoted to the relations between difference sets, t-designs, cocyclic-matrices and Hadamard groups, and we present a link between them and a class of Hadamard propelinear codes, which we call full propelinear. Finally, as an exemplification, we provide a full propelinear structure for all Hadamard codes of length sixteen.

KW - Full propelinear codes

KW - Hadamard group

KW - Propelinear code

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DO - https://doi.org/10.1016/j.endm.2014.08.038

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SP - 289

EP - 296

JO - Electronic Notes in Discrete Mathematics

JF - Electronic Notes in Discrete Mathematics

SN - 1571-0653

ER -

About a class of Hadamard propelinear codes

Abstract

Keywords

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