Preparata codes through lattices

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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 languageEnglish (US)
Pages (from-to)36-44
Number of pages9
JournalIEEE Transactions on Information Theory
Issue number1
StatePublished - Jan 2001


  • Cyclic code
  • Goethals code
  • Lattice
  • Modular code
  • Preparata code

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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