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Preparata codes through lattices

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1 Author(s)
Duursma, I.M. ; Gauss Res. Lab., Puerto Rico Univ., Rio Piedras, Puerto Rico

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)

Published in:

Information Theory, IEEE Transactions on  (Volume:47 ,  Issue: 1 )