A proof of Alon-Babai-Suzuki's conjecture and multilinear polynomials

DOI10.1016/j.ejc.2014.08.027zbMath1301.05034OpenAlexW2060518011WikidataQ123244498 ScholiaQ123244498MaRDI QIDQ458607

Younjin Kim, Kyung-Won Hwang

Publication date: 8 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2014.08.027

zbMATH Keywords

intersection theoremsmultilinear polynomialsFrankl-Wilson theoremRay-Chaudhuri-Wilson theorem

Mathematics Subject Classification ID

Combinatorial inequalities (05A20)

Related Items

A strengthened inequality of Alon-Babai-Suzuki's conjecture on set systems with restricted intersections modulo \(p\), Bounds for sets with few distances distinct modulo a prime ideal, Set Systems with L-Intersections and k-Wise L-Intersecting Families, Set systems with \(k\)-wise \(L\)-intersections and codes with restricted Hamming distances, Invitation to intersection problems for finite sets

Cites Work

• Alon-Babai-Suzuki's conjecture related to binary codes in nonmodular version
• Intersection theorems with geometric consequences
• Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems
• On t-designs
• On generalizations of the deBruijn-Erdős theorem
• On mod-\(p\) Alon-Babai-Suzuki inequality