Higher Power Residue Codes and the Leech Lattice

Authors:
Mehrdad Ahmadzadeh Raji
Affiliations:
Department of Mathematical Sciences, University of Exeter, Exeter, UK EX4 4QE
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2005

Citing 4
Cited 0

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Abstract

We shall consider higher power residue codes over the ring Z4. We will briefly introduce these codes over Z4 and then we will find a new construction for the Leech lattice. A similar construction is used to construct some of the other lattices of rank 24.