Necessary conditions for existence of some designs in polynomial metric spaces

DOI10.1006/eujc.1998.0278zbMath0929.05008OpenAlexW1969059239MaRDI QIDQ1289074

Silvia Boumova, P. G. Boyvalenkov, Danyo Danev

Publication date: 11 January 2000

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.1998.0278

zbMATH Keywords

spherical designDelsarte boundpolynomial metric space\(\tau\)-designantipodal designself-complementary design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Metric spaces, metrizability (54E35)

Related Items (10)

Weighted complex projective 2-designs from bases: Optimal state determination by orthogonal measurements ⋮ Upper energy bounds for spherical designs of relatively small cardinalities ⋮ Energy bounds for codes and designs in Hamming spaces ⋮ A new asymptotic bound of the minimum possible odd cardinality of spherical \((2k-1)\)-designs ⋮ Universal lower bounds for potential energy of spherical codes ⋮ Linear programming bounds for covering radius of spherical designs ⋮ A method for proving nonexistence of spherical designs of odd strength and odd cardinality ⋮ Polynomial techniques for investigation of spherical designs ⋮ Rational designs ⋮ A survey on spherical designs and algebraic combinatorics on spheres

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