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 (1995)
Year
DOI
Venue
2001
10.1109/18.904501
IEEE Transactions on Information Theory
Keywords
Field
DocType
quaternary preparata code,dual code,extended low-correlation,extended cyclic code,modular integer,nontrivial subfamily,elementary family,cyclic code,lattices,gaussian processes,indexing terms,linear code,galois fields,hamming distance,mathematics
Discrete mathematics,Hamming code,Preparata code,Combinatorics,Group code,Luby transform code,Block code,Expander code,Reed–Muller code,Linear code,Mathematics
Journal
Volume
Issue
ISSN
47
1
0018-9448
Citations 
PageRank 
References 
2
0.60
5
Authors
1
Name
Order
Citations
PageRank
I. M. Duursma1618.04