An upper bound on the sizes of multiset-union-free families

Or Ordentlich; Ofer Shayevitz

doi:10.1137/15M1021118

An upper bound on the sizes of multiset-union-free families

Or Ordentlich
, Ofer Shayevitz

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Let F₁ and F₂ be two families of subsets of an n-element set. We say that F₁ and F₂ are multiset-union-free if for any A,B ϵ F₁ and C,D ϵ F₂ the multisets A = C and B = D are different, unless both A = B and C = D. We derive a new upper bound on the maximal sizes of multiset-union-free pairs, improving a result of Urbanke and Li.

Original language	English
Pages (from-to)	1032-1045
Number of pages	14
Journal	SIAM Journal on Discrete Mathematics
Volume	30
Issue number	2
DOIs	https://doi.org/10.1137/15M1021118
State	Published - 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016 Society for Industrial and Applied Mathematics.

Keywords

Additive combinatorics
Binary adder channel
Zero error capacity

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10.1137/15M1021118

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An upper bound on the sizes of multiset-union-free families

Abstract

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Keywords

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