Preparata codes through lattices

I. M. Duursma

doi:10.1109/18.904501

Preparata codes through lattices

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

Abstract

We define an elementary family of lattices, from which we obtain a family of extended cyclic codes with coefficients in the modular integers. The first nontrivial subfamily is the family of quaternary Preparata codes. The family of dual codes coincides with the extended low-correlation sequences introduced by Kumar, Helleseth, and Calderbank.

Original language	English (US)
Pages (from-to)	36-44
Number of pages	9
Journal	IEEE Transactions on Information Theory
Volume	47
Issue number	1
DOIs	https://doi.org/10.1109/18.904501
State	Published - Jan 2001

Keywords

Cyclic code
Goethals code
Lattice
Modular code
Preparata code

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

Online availability

10.1109/18.904501

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title = "Preparata codes through lattices",

abstract = "We define an elementary family of lattices, from which we obtain a family of extended cyclic codes with coefficients in the modular integers. The first nontrivial subfamily is the family of quaternary Preparata codes. The family of dual codes coincides with the extended low-correlation sequences introduced by Kumar, Helleseth, and Calderbank.",

keywords = "Cyclic code, Goethals code, Lattice, Modular code, Preparata code",

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year = "2001",

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N2 - We define an elementary family of lattices, from which we obtain a family of extended cyclic codes with coefficients in the modular integers. The first nontrivial subfamily is the family of quaternary Preparata codes. The family of dual codes coincides with the extended low-correlation sequences introduced by Kumar, Helleseth, and Calderbank.

AB - We define an elementary family of lattices, from which we obtain a family of extended cyclic codes with coefficients in the modular integers. The first nontrivial subfamily is the family of quaternary Preparata codes. The family of dual codes coincides with the extended low-correlation sequences introduced by Kumar, Helleseth, and Calderbank.

KW - Cyclic code

KW - Goethals code

KW - Lattice

KW - Modular code

KW - Preparata code

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Preparata codes through lattices

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

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