The concept of a trade in a combinatorial structure has existed for some years now.
However, in the last five years or so there has been a great deal of activity in the area. This …

A μ-way latin trade of volume s is a set of μ partial latin rectangles (of inconsequential size)
containing exactly the same s filled cells, such that if cell (i, j) is filled, it contains a different …

A $\mu $-way $(v, k, t) $$ trade $ of volume $ m $ consists of $\mu $ disjoint collections $
T_1 $, $ T_2,\dots T_ {\mu} $, each of $ m $ blocks, such that for every $ t $-subset of $ v …

Abstract A 3-way (v, k, t) trade of volume s consists of 3 disjoint collections T 1, T 2 and T 3,
each of s blocks, such that for every t-subset of v-set V, the number of blocks containing this t …

To study orthogonal arrays and signed orthogonal arrays, Ray-Chaudhuri and Singhi (1988
and 1994) considered some module spaces. Here, using a linear algebraic approach we …

The fine structures of three Latin squares Page 1 The Fine Structures of Three Latin
Squares Yanxun Chang,1 Giovanni Lo Faro,2 Giorgio Nordo2 1Department of Mathematics …

A Steiner system S (2, k, v) is a pair (X, B) where X is a v-set and B is a family of k-subset of X
called blocks, such that each 2-subset of X is contained in exactly one block of B. If k= 3 …

In this paper we introduce the 3-way intersection problem for G-designs, and we consider
this problem for kite systems. Let b_v= v (v-1)/8 bv= v (v-1)/8 and I_3 (v)={0, 1, ..., b_v ∖ {b_v …

An $ m $-flower in a latin square is a set of $ m $ entries which share either a common row,
a common column, or a common symbol, but which are otherwise distinct. Two $ m $-flowers …

Denote by Fin (v) the set of all integer pairs (t, s) for which there exist three Latin squares of
order v on the same set having fine structure (t, s). The set Fin (v) with v≥ 2 and v= 5, 6, 7, 8 …