\(V(m,t)\) and its variants

DOI10.1016/S0378-3758(00)00284-6zbMath0984.05017OpenAlexW2006693156MaRDI QIDQ5935434

G. H. J. van Rees, Ke-jun Chen, L. Zhu

Publication date: 2 May 2002

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

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00284-6

zbMATH Keywords

difference setorthogonal Latin square

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (6)

Existence of (q, 7, 1) difference families with q a prime power ⋮ Existence of APAV\((q,k)\) with \(q\) a prime power \(\equiv 5 \pmod 8\) and \(k\equiv 1 \pmod 4\). ⋮ Existence of \(V(m,t)\) vectors ⋮ Existence of 4-fold perfect \((v, \{5, 8\}, 1)\)-Mendelsohn designs ⋮ Perfect Mendelsohn designs with block size six ⋮ Combinatorial designs and the theorem of Weil on multiplicative character sums

Cites Work

• 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
• Transversal designs of block size eight and nine
• Concerning the vector \(v(m,t)\)
• Cyclotomy and difference families in elementary Abelian groups
• Some Results on the Existence of Squares
• Perfect Mendelsohn designs with block size six
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