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Lee Polynomials of Codes and Theta Functions of Lattices

Published online by Cambridge University Press:  20 November 2018

David P. Maher
David P. Maher*
Affiliation:
Worcester Polytechnic Institute, Worcester, Massachusetts
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Several authors [2; 3; 10; 12] have noticed the similarities between the theory of codes and the theory of Euclidean lattices. It is interesting to compare the two theories since they share a common problem, viz. the sphere packing problem. In the theory of codes one would like to find a code over Fp, i.e. a subspace of Fpn, such that non-intersecting spheres with respect to a given metric, centered at the code vectors, pack Fpn densely.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 4 , 01 August 1978 , pp. 738 - 747
Copyright
Copyright © Canadian Mathematical Society 1978

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