Title :
Preparata codes through lattices
Author :
Duursma, Iwan M.
Author_Institution :
Gauss Res. Lab., Puerto Rico Univ., Rio Piedras, Puerto Rico
fDate :
1/1/2001 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
