Bounds on sizes of generalized caps in AG(n,q) via the Croot-Lev-Pach polynomial method

Author:

Bennett Michael

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference12 articles.

1. New bounds on cap sets;Bateman;J. Amer. Math. Soc.,2012

2. Introduction to Coding Theory;Bierbrauer,2010

3. Progression-free sets in Z4n are exponentially small;Croot;Ann. of Math.,2017

4. Extensions of generalized product caps;Edel;Des. Codes Cryptogr.,2004

5. The classification of the largest caps in AG(5,3);Edel;J. Combin. Theory Ser. A,2002

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1. How Many Cards Should You Lay Out in a Game of EvenQuads: A Detailed Study of Caps in $$\textrm{AG}(n,2)$$;La Matematica;2023-05-31

2. Avoiding intersections of given size in finite affine spaces AG(n,2);Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications;2023

3. Exponentially larger affine and projective caps;Mathematika;2022-12-19

4. Improved Bounds on Sizes of Generalized Caps in $AG(n,q)$;SIAM Journal on Discrete Mathematics;2021-01

5. A lower bound for the k‐multicolored sum‐free problem in Zmn;Proceedings of the London Mathematical Society;2018-12-16

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