Infinite families of optimal systems of biangular lines related to representations of \(\mathrm{SL}(2, \mathbb{F}_q)\)

DOI10.1016/j.jcta.2022.105656OpenAlexW4285791991WikidataQ113871614 ScholiaQ113871614MaRDI QIDQ2169823

Mikhail Ganzhinov

Publication date: 30 August 2022

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.02718

zbMATH Keywords

combinatoricsfunctional analysisline packingsLevenshtein's bounds

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Combinatorial aspects of packing and covering (05B40)

Cites Work

• Unnamed Item
• Mutually unbiased weighing matrices
• t-designs in projective spaces
• On the existence of equiangular tight frames
• Unitary Kloosterman sums and the Gelfand-Graev representation of \(GL_2\)
• Grassmannian frames with applications to coding and communication
• Toward the classification of biangular harmonic frames
• Construction and classification of irreducible representations of special linear group of the second order over a finite field
• Equiangular Tight Frames From Hyperovals
• Evaluation of some exponential sums over a finite field
• Lower bounds on the maximum cross correlation of signals (Corresp.)
• Dimension towers of SICs. I. Aligned SICs and embedded tight frames
• Constructions of biangular tight frames and their relationships with equiangular tight frames
• SIC-POVMs and the Stark Conjectures
• OPTIMAL LINE PACKINGS FROM FINITE GROUP ACTIONS

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