DocumentCode
1442913
Title
Preparata codes through lattices
Author
Duursma, Iwan M.
Author_Institution
Gauss Res. Lab., Puerto Rico Univ., Rio Piedras, Puerto Rico
Volume
47
Issue
1
fYear
2001
fDate
1/1/2001 12:00:00 AM
Firstpage
36
Lastpage
44
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 (1995)
Keywords
correlation methods; cyclic codes; dual codes; linear codes; binary BCH codes; code coefficient; dual codes; extended cyclic codes; extended low-correlation sequences; lattices; linear codes; modular codes; modular integers; nontrivial subfamily; quaternary Preparata codes; Galois fields; Gaussian processes; Hamming distance; Lattices; Linear code; Mathematics;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.904501
Filename
904501
Link To Document