Set systems with L-intersections modulo a prime number

Authors:
William Y. C. Chen;Jiuqiang Liu
Affiliations:
Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China;Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China and Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, USA
Venue:
Journal of Combinatorial Theory Series A
Year:
2009

Citing 6
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On generalizations of the deBruijn-Erdo¨s theorem

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Proof of a conjecture of Frankl and Füredi

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Multilinear polynomials and a conjecture of Frankl and Füredi

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Note: on k-wise set-intersections and k-wise Hamming-distances

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Intersection families and Snevily's conjecture

European Journal of Combinatorics

Set systems with restricted k-wise L -intersections modulo a prime number

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Abstract

Let p be a prime and let L={l"1,l"2,...,l"s} and K={k"1,k"2,...,k"r} be two subsets of {0,1,2,...,p-1} satisfying maxl"jj and |F"i|(modp)@?K for every 1=