A generalization of Gerzon’s bound on spherical s-distance sets

Datta, Mrinmoy and Manna, Subrata (2022) A generalization of Gerzon’s bound on spherical s-distance sets. Periodica Mathematica Hungarica. ISSN 0031-5303

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Abstract

Using the method of linearly independent polynomials, we derive an upper bound for the cardinality of a spherical s-distance set F where the sum of distinct inner products of any two elements from F is zero. Our result generalizes the well-known Gerzon’s bound for the cardinality of an equiangular spherical set to a significantly broader class of spherical s-distance sets. © 2022, Akadémiai Kiadó, Budapest, Hungary.

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IITH Creators:

IITH Creators	ORCiD
Datta, Mrinmoy	UNSPECIFIED

Item Type:

Article

Additional Information:

Mrinmoy Datta is partially supported by a Seed Grant from Indian Institute of Technology Hyderabad and Start-up Research Grant (SRG/2021/001177) from Science and Engineering Research Board (India), whereas the Subrata Manna is partially supported by a doctoral scholarship from Council of Scientific and Industrial Research, India.

Uncontrolled Keywords:

Gerzon’s bound; Polynomial methods; s-distance sets

Subjects:

Mathematics

Divisions:

Department of Mathematics

Depositing User:

. LibTrainee 2021

Date Deposited:

23 Nov 2022 12:03

Last Modified:

23 Nov 2022 12:03