A new proof of several inequalities on codes and sets
type: Item
instance of: scholarly article
title: A new proof of several inequalities on codes and sets
zbMATH Open document ID: 0826.05053
DOI: 10.1016/0097-3165(95)90021-7
author: László Babai
author: Richard M. Wilson
author: Hunter Snevily
published in: Journal of Combinatorial Theory. Series A
publication date: 1995-11-26T00:00:00Z
review text: This paper proves general Ray-Chaudhuri-Wilson and Delsarte type theorems on codes, and set systems with restricted intersections. It also generalizes Frankl and Wilson's modular-type results. The proofs are elementary and very elegant using multivariate polynomials of rational coefficients.
Mathematics Subject Classification ID: 05D05
zbMATH DE Number: 774650
zbMATH Keywords: inequalities on codes
zbMATH Keywords: Ray-Chaudhuri-Wilson theorem
zbMATH Keywords: Frankl-Wilson theorem
zbMATH Keywords: Delsarte method
zbMATH Keywords: set systems
zbMATH Keywords: multivariate polynomials
reviewed by: Péter L. Erdős
MaRDI profile type: Publication
full work available at URL: 0097-3165(95)90021-7
OpenAlex ID: W1996198376
cites work: Q5707657
cites work: Bilinear forms over a finite field, with applications to coding theory
cites work: Orthogonal vectors in the \(n\)-dimensional cube and codes with missing distances
cites work: Intersection theorems with geometric consequences
cites work: Q4093457
cites work: On Two-Distance Sets in Euclidean Space
cites work: On t-designs
description: scientific article; zbMATH DE number 774650