Maximum subsets of \(\mathbb{F}^n_q\) containing no right angles

DOI10.1007/s10801-019-00908-4zbMath1462.05347arXiv1612.08255OpenAlexW2982175037MaRDI QIDQ2021406

Gennian Ge, Chong Shangguan

Publication date: 27 April 2021

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

Full work available at URL: https://arxiv.org/abs/1612.08255

zbMATH Keywords

extremal combinatoricspolynomial methodright angles over a finite field

Mathematics Subject Classification ID

Extremal set theory (05D05) Erd?s problems and related topics of discrete geometry (52C10) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (2)

Unnamed Item ⋮ Monochromatic equilateral triangles in the unit distance graph

Cites Work

• Unnamed Item
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• How large dimension guarantees a given angle?
• Progression-free sets in \(\mathbb{Z}_4^n\) are exponentially small
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• The partition rank of a tensor and \(k\)-right corners in \(\mathbb{F}_q^n\)
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
• New applications of the polynomial method: The cap set conjecture and beyond
• On cap sets and the group-theoretic approach to matrix multiplication
• The growth rate of tri-colored sum-free sets
• Universal points in the asymptotic spectrum of tensors
• UPPER BOUNDS FOR SUNFLOWER-FREE SETS

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