Existence of \(V(m,t)\) vectors

DOI10.1016/S0378-3758(02)00228-8zbMath1002.05008MaRDI QIDQ698033

L. Zhu, Ke-jun Chen

Publication date: 18 September 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

perfect Mendelsohn designcyclotomic classcharacter sum estimateorthogoal Latin squares

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Estimates on character sums (11L40)

Related Items (1)

Combinatorial designs and the theorem of Weil on multiplicative character sums

Cites Work

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• More mutually orthogonal latin squares
• On the maximal number of pairwise orthogonal Steiner triple systems
• Existence of \((q,6,1)\) difference families with \(q\) a prime power
• On cyclically resolvable cyclic Steiner 2-designs
• Some direct constructions for incomplete transversal designs
• \(V (m, t)\)'s for \(m = 4, 5, 6\)
• An existence theorem for cyclic triplewhist tournaments
• Concerning the vector \(v(m,t)\)
• Cyclotomy and difference families in elementary Abelian groups
• Some Results on the Existence of Squares
• All v(3, t)'s exist for 3t + 1 a prime
• Perfect Mendelsohn designs with block size six
• \(V(m,t)\) and its variants

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