A Small Maximal Sidon Set in ${\mathbb{Z}}_2^n$

DOI10.1137/21M1454663zbMath1506.11018arXiv2109.00292OpenAlexW4292062842MaRDI QIDQ5099096

Maximus Redman, Raphael Walker, Lauren L. Rose

Publication date: 31 August 2022

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.00292

zbMATH Keywords

Sidon setscapsetsmall maximal Sidon setfinite field of characteristic 2

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Additive bases, including sumsets (11B13) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

Related Items (1)

How many cards should you lay out in a game of \textit{EvenQuads}: a detailed study of caps in \(\mathrm{AG}(n, 2)\)

Cites Work

• Unnamed Item
• A small maximal Sidon set
• A complete annotated bibliography of work related to Sidon sequences
• A note on the random greedy independent set algorithm
• On a class of error correcting binary group codes
• The Arithmetic of Elliptic Curves
• Determination of two vectors from the sum
• A Theorem in Finite Projective Geometry and Some Applications to Number Theory
• On a Problem of Sidon in Additive Number Theory, and on some Related Problems
• Improved Bounds on Sizes of Generalized Caps in $AG(n,q)$

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