Equiangular tight frames from Paley tournaments


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Author / Producer

Date

2007-10-15

Publication Type

Journal Article

ETH Bibliography

no

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Abstract

We prove the existence of equiangular tight frames having n = 2 d - 1 elements drawn from either Cd or Cd - 1 whenever n is either 2k - 1 for k ∈ N, or a power of a prime such that n ≡ 3 mod 4. We also find a simple explicit expression for the prime power case by establishing a connection to a 2 d-element equiangular tight frame based on quadratic residues. © 2007 Elsevier Inc. All rights reserved.

Publication status

published

Editor

Book title

Volume

426 (2-3)

Pages / Article No.

497 - 501

Publisher

Elsevier

Event

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Paley tournament; Adjacency matrix; Equiangular tight frames; Spherical codes

Organisational unit

03781 - Renner, Renato / Renner, Renato check_circle

Notes

Funding

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