Double Circulant Codes over ℤ4 and even Unimodular Lattices

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".

Duke Authors

Cited Authors

  • Calderbank, AR; Sloane, NJA

Published Date

  • 1997

Published In

  • Journal of Algebraic Combinatorics

Volume / Issue

  • 6 / 2

Start / End Page

  • 119 - 131