Noam Elkies

Affiliation: Harvard University

Email: elkies@math.harvard.edu

Title Of Talk: Weighted theta functions, and a coding analog

Abstract: There is a well-known analogy between the theta function of a lattice and the Hamming weight enumerator of a linear code. Delsarte extended this analogy to theta functions and enumerators with harmonic weights. After reviewing the properties and some uses of harmonically weighted theta functions, we outline a new approach to Delsarte's discrete harmonic polynomials and some of its applications that highlights the code-lattice analogy. This is joint work with Scott Kominers.

Last update made Fri Feb 20 08:16:40 EST 2009.
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