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Double Circulant Codes over mathbb{Z}_4 and Even Unimodular Lattices |
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| Authors: | A.R. Calderbank N.J.A. Sloane |
| Affiliation: | (1) Information Sciences Research Center, AT&T Labs-Research, Murray Hill, New Jersey, 07974 |
| Abstract: | With the help of some new results about weight enumerators of self-dual codes over  we investigate a class of double circulant codes over  , 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 |
| Keywords: | quarterly code unimodular lattice IE4" > |
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