Quasi-Hadamard Full Propelinear Codes

José Andrés Armario; Iván Bailera; Joaquim Borges; Josep Rifà

doi:10.1007/s11786-018-0378-9

Quasi-Hadamard Full Propelinear Codes

José Andrés Armario, Iván Bailera, Joaquim Borges, Josep Rifà

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Resum

© 2018, Springer Nature Switzerland AG. In this paper, we give a characterization of quasi-Hadamard groups in terms of propelinear codes. We define a new class of codes that we call quasi-Hadamard full propelinear codes. Some structural properties of these codes are studied and examples are provided.

Idioma original	Anglès
Pàgines (de-a)	419-428
Revista	Mathematics in Computer Science
Volum	12
DOIs	https://doi.org/10.1007/s11786-018-0378-9
Estat de la publicació	Publicada - 1 de des. 2018

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10.1007/s11786-018-0378-9

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@article{9704fc623eb94f0dad63ea2d3636d25a,

title = "Quasi-Hadamard Full Propelinear Codes",

abstract = "{\textcopyright} 2018, Springer Nature Switzerland AG. In this paper, we give a characterization of quasi-Hadamard groups in terms of propelinear codes. We define a new class of codes that we call quasi-Hadamard full propelinear codes. Some structural properties of these codes are studied and examples are provided.",

keywords = "Cocycles, Propelinear codes, Quasi-Hadamard groups, Quasi-orthogonal",

author = "Armario, {Jos{\'e} Andr{\'e}s} and Iv{\'a}n Bailera and Joaquim Borges and Josep Rif{\`a}",

year = "2018",

month = dec,

day = "1",

doi = "10.1007/s11786-018-0378-9",

language = "English",

volume = "12",

pages = "419--428",

journal = "Mathematics in Computer Science",

issn = "1661-8270",

publisher = "Birkhauser Verlag Basel",

}

TY - JOUR

T1 - Quasi-Hadamard Full Propelinear Codes

AU - Armario, José Andrés

AU - Bailera, Iván

AU - Borges, Joaquim

AU - Rifà, Josep

PY - 2018/12/1

Y1 - 2018/12/1

N2 - © 2018, Springer Nature Switzerland AG. In this paper, we give a characterization of quasi-Hadamard groups in terms of propelinear codes. We define a new class of codes that we call quasi-Hadamard full propelinear codes. Some structural properties of these codes are studied and examples are provided.

AB - © 2018, Springer Nature Switzerland AG. In this paper, we give a characterization of quasi-Hadamard groups in terms of propelinear codes. We define a new class of codes that we call quasi-Hadamard full propelinear codes. Some structural properties of these codes are studied and examples are provided.

KW - Cocycles

KW - Propelinear codes

KW - Quasi-Hadamard groups

KW - Quasi-orthogonal

U2 - 10.1007/s11786-018-0378-9

DO - 10.1007/s11786-018-0378-9

M3 - Article

SN - 1661-8270

VL - 12

SP - 419

EP - 428

JO - Mathematics in Computer Science

JF - Mathematics in Computer Science

ER -

Quasi-Hadamard Full Propelinear Codes

Resum

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