On the additive Z4-linear and non-Z4-linear Hadamard codes: Rank and kernel

Kevin T. Phelps; Joseph Rifà; Mercè Villanueva

doi:https://doi.org/10.1109/TIT.2005.860464

On the additive Z4-linear and non-Z4-linear Hadamard codes: Rank and kernel

Kevin T. Phelps, Joseph Rifà, Mercè Villanueva

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

32 Citations (Scopus)

Abstract

Original language	English
Pages (from-to)	316-319
Journal	IEEE Transactions on Information Theory
Volume	52
DOIs	https://doi.org/10.1109/TIT.2005.860464
Publication status	Published - 1 Jan 2006

Keywords

Additive codes
Extended perfect codes
Hadamard codes
Hadamard matrices
Kernel
Rank
Z4-linear codes

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https://doi.org/10.1109/TIT.2005.860464

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title = "On the additive Z4-linear and non-Z4-linear Hadamard codes: Rank and kernel",

abstract = "All the possible nonisomorphic additive (ℤ4-linear and non-ℤ4-linear) Hadamard codes are characterized and the rank and the dimension of the kernel are computed for each one. {\textcopyright} 2006 IEEE.",

keywords = "Additive codes, Extended perfect codes, Hadamard codes, Hadamard matrices, Kernel, Rank, Z4-linear codes",

author = "Phelps, {Kevin T.} and Joseph Rif{\`a} and Merc{\`e} Villanueva",

year = "2006",

month = jan,

day = "1",

doi = "https://doi.org/10.1109/TIT.2005.860464",

language = "English",

volume = "52",

pages = "316--319",

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T1 - On the additive Z4-linear and non-Z4-linear Hadamard codes: Rank and kernel

AU - Phelps, Kevin T.

AU - Rifà, Joseph

AU - Villanueva, Mercè

PY - 2006/1/1

Y1 - 2006/1/1

KW - Additive codes

KW - Extended perfect codes

KW - Hadamard codes

KW - Hadamard matrices

KW - Kernel

KW - Rank

KW - Z4-linear codes

U2 - https://doi.org/10.1109/TIT.2005.860464

DO - https://doi.org/10.1109/TIT.2005.860464

M3 - Article

VL - 52

SP - 316

EP - 319

ER -

On the additive Z4-linear and non-Z4-linear Hadamard codes: Rank and kernel

Abstract

Keywords

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