Z2Z4-Additive formally self-dual codes

S. T. Dougherty; C. Fernández-Córdoba

doi:10.1007/s10623-012-9773-4

Z2Z4-Additive formally self-dual codes

S. T. Dougherty, C. Fernández-Córdoba

Departament d'Enginyeria de la Informació i de les Comunicacions

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Resum

We study odd and even ℤ2ℤ4 formally self-dual codes. The images of these codes are binary codes whose weight enumerators are that of a formally self-dual code but may not be linear. Three constructions are given for formally self-dual codes and existence theorems are given for codes of each type defined in the paper. © 2012 Springer Science+Business Media New York.

Idioma original	Anglès
Pàgines (de-a)	435-453
Revista	Designs, Codes, and Cryptography
Volum	72
Número	2
DOIs	https://doi.org/10.1007/s10623-012-9773-4
Estat de la publicació	Publicada - 1 de gen. 2014

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10.1007/s10623-012-9773-4

https://ddd.uab.cat/record/142852

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https://www.scopus.com/pages/publications/84902132684

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title = "Z2Z4-Additive formally self-dual codes",

abstract = "We study odd and even ℤ2ℤ4 formally self-dual codes. The images of these codes are binary codes whose weight enumerators are that of a formally self-dual code but may not be linear. Three constructions are given for formally self-dual codes and existence theorems are given for codes of each type defined in the paper. {\textcopyright} 2012 Springer Science+Business Media New York.",

keywords = "Formally self-dual codes, Type I codes, Type II codes",

author = "Dougherty, \{S. T.\} and C. Fern{\'a}ndez-C{\'o}rdoba",

year = "2014",

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doi = "10.1007/s10623-012-9773-4",

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journal = "Designs, Codes, and Cryptography",

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AU - Dougherty, S. T.

AU - Fernández-Córdoba, C.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We study odd and even ℤ2ℤ4 formally self-dual codes. The images of these codes are binary codes whose weight enumerators are that of a formally self-dual code but may not be linear. Three constructions are given for formally self-dual codes and existence theorems are given for codes of each type defined in the paper. © 2012 Springer Science+Business Media New York.

AB - We study odd and even ℤ2ℤ4 formally self-dual codes. The images of these codes are binary codes whose weight enumerators are that of a formally self-dual code but may not be linear. Three constructions are given for formally self-dual codes and existence theorems are given for codes of each type defined in the paper. © 2012 Springer Science+Business Media New York.

KW - Formally self-dual codes

KW - Type I codes

KW - Type II codes

UR - https://www.scopus.com/pages/publications/84902132684

U2 - 10.1007/s10623-012-9773-4

DO - 10.1007/s10623-012-9773-4

M3 - Article

SN - 0925-1022

VL - 72

SP - 435

EP - 453

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 2

ER -

Z2Z4-Additive formally self-dual codes

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