A new proof of a generalization of Gerzon’s bound-Reference-Cited by-同舟云学术

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A new proof of a generalization of Gerzon’s bound

Published:2020-11-22 Issue:1 Volume:83 Page:49-53
ISSN:0031-5303
Container-title:Periodica Mathematica Hungarica
language:en
Short-container-title:Period Math Hung

Author:

Hegedüs Gábor

Abstract

AbstractIn this paper we give a short, new proof of a natural generalization of Gerzon’s bound. This bound improves the Delsarte, Goethals and Seidel’s upper bound in a special case. Our proof is a simple application of the linear algebra bound method.

Funder

Óbuda University

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10998-020-00372-9.pdf

Reference9 articles.

1. P. Delsarte, J.M. Goethals, J.J. Seidel, Spherical codes and designs. Geom. Ded. 6(3), 363–388 (1977)

2. A. Barg, O.R. Musin, Bounds on sets with few distances. J. Comb. Theory Ser. A 118(4), 1465–1474 (2011)

3. P.W.H. Lemmens, J.J. Seidel, Equiangular lines. J. Algebra 24, 494–512 (1973)

4. A. Glazyrin, W.H. Yu, Upper bounds for s-distance sets and equiangular lines. Adv. Math. 330, 810–833 (2018)

5. O.R. Musin, Spherical two-distance sets. J. Comb. Theory Ser. A 116(4), 988–995 (2009)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A generalization of Gerzon’s bound on spherical s-distance sets;Periodica Mathematica Hungarica;2022-11-04

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