Double Circulant Codes over ℤ4 and even Unimodular Lattices

Journal Article (Journal Article)

With the help of some new results about weight enumerators of self-dual codes over ℤ4 we investigate a class of double circulant codes over ℤ4, one of which leads to an extremal even unimodular 40-dimensional lattice. It is conjectured that there should be "Nine more constructions of the Leech lattice".

Full Text

Duke Authors

Cited Authors

  • Calderbank, AR; Sloane, NJA

Published Date

  • January 1, 1997

Published In

Volume / Issue

  • 6 / 2

Start / End Page

  • 119 - 131

International Standard Serial Number (ISSN)

  • 0925-9899

Digital Object Identifier (DOI)

  • 10.1023/A:1008639004036

Citation Source

  • Scopus