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Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps
Language
en
Article de revue
This item was published in
European Journal of Combinatorics. 2009-04, vol. 30, n° 3, p. 625-637
Elsevier
English Abstract
We apply the semidefinite programming approach developed in arxiv:math.MG/0608426 to obtain new upper bounds for codes in spherical caps. We compute new upper bounds for the one-sided kissing number in several dimensions ...Read more >
We apply the semidefinite programming approach developed in arxiv:math.MG/0608426 to obtain new upper bounds for codes in spherical caps. We compute new upper bounds for the one-sided kissing number in several dimensions where we in particular get a new tight bound in dimension 8. Furthermore we show how to use the SDP framework to get analytic bounds.Read less <
ANR Project
Nouvelles interactions des codes correcte d'erre - ANR-06-BLAN-0408
Origin
Hal imported