𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the maximum number of different ordered pairs of symbols in sets of latin squares

✍ Scribed by Jeffrey H. Dinitz; Douglas R. Stinson

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
140 KB
Volume
13
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, we study the problem of constructing sets of s latin squares of order m such that the average number of different ordered pairs obtained by superimposing two of the s squares in the set is as large as possible. We solve this problem (for all s) when m is a prime power by using projective planes. We also present upper and lower bounds for all positive integers m. Β© 2004 Wiley Periodicals, Inc. J Combin Designs 13: 1–15, 2005.

πŸ“œ SIMILAR VOLUMES

On the spectrum of critical sets in lati
On the spectrum of critical sets in latin squares of order 2n
✍ Diane Donovan; James LeFevre; G. H. John van Rees πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 197 KB πŸ‘ 1 views

## Abstract Suppose that __L__ is a latin square of order __m__ and __P__β€‰βŠ‘β€‰__L__ is a partial latin square. If __L__ is the only latin square of order __m__ which contains __P__, and no proper subset of __P__ has this property, then __P__ is a __critical set__ of __L__. The critical set spectrum p

On arcs sharing the maximum number of po
On arcs sharing the maximum number of points with ovals in cyclic affine planes of odd order
✍ GΓ‘bor KorchmΓ‘ros; Angelo Sonnino πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 187 KB πŸ‘ 2 views

## Abstract The sporadic complete 12‐arc in PG(2, 13) contains eight points from a conic. In PG(2,__q__) with __q__>13 odd, all known complete __k__‐arcs sharing exactly Β½(__q__+3) points with a conic π’ž have size at most Β½(__q__+3)+2, with only two exceptions, both due to Pellegrino, which are comp