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A functional view of upper bounds on codes

By Er Barg and Dmitry Nogin

Abstract

Functional and linear-algebraic approaches to the Delsarte problem of upper bounds on codes are discussed. We show that Christoffel-Darboux kernels and Levenshtein polynomials related to them arise as stationary points of the moment functionals of some distributions. We also show that they can be derived as eigenfunctions of the Jacobi operator

Topics: Delsarte problem, Jacobi matrix, moment functional, stationary
OAI identifier: oai:CiteSeerX.psu:10.1.1.311.7071
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