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Some new conjugate orthogonal Latin squares

✍ Scribed by F.E Bennett; Lisheng Wu; L Zhu


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
276 KB
Volume
46
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES


Incomplete conjugate orthogonal idempote
✍ F.E Bennett; L Zhu πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 914 KB

Let us denote by COILS(v) a (3, 2, 1)-conjugate orthogonal idempotent Latin square of order v, and by ICOILS(v, n) an incomplete COILS(v) missing a sub-COILS(n). We shall investigate the existence of ICOILS(v, n). The construction of an ICOILS(8, 2) has already been instrumental in the construction

Existence of conjugate orthogonal diagon
✍ F. E. Bennett; B. Du; H. Zhang πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 151 KB πŸ‘ 1 views

We shall refer to a diagonal Latin square which is orthogonal to its (3, 2, 1)-conjugate and having its (3, 2, 1)-conjugate also a diagonal Latin square as a (3, 2, 1)-conjugate orthogonal diagonal Latin square, briefly CODLS. This article investigates the spectrum of CODLS and it is found that it c

Existence of self-conjugate self-orthogo
✍ F. E. Bennett; B. Du; H. Zhang πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 229 KB πŸ‘ 1 views

In this article we give some new constructions of self-conjugate self-orthogonal diagonal Latin squares (SCSODLS). As an application of such constructions, we give a conclusive result regarding the existence of SCSODLS and show that there exists an SCSODLS of order n if and only if n ≑ 0, 1 (mod 4),

On orthogonal latin squares
✍ C.F Woodcock πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 115 KB
Existence of (3, 1, 2)-conjugate orthogo
✍ Frank E. Bennett; Beiliang Du; Hantao Zhang πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 159 KB

## Abstract We shall refer to a diagonal Latin square which is orthogonal to its (3,1,2)‐conjugate, and the latter is also a diagonal Latin square, as a (3,1, 2)‐conjugate orthogonal diagonal Latin square, briefly CODLS. This article investigates the spectrum of CODLS and it is found that it contai

Further results on incomplete (3,2,1)- c
✍ F.E. Bennett; Lisheng Wu; L. Zhu πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 878 KB

Let us denote by COILS(v) a (3,2, l)-conjugate orthogonal idempotent Latin square of order v, and by ICOILS(v, n) an incomplete COILS(v) missing a sub-COILS(n). A necessary condition for the existence of an ICOILS(v, and the necessary condition for its existence has recently been shown by the auth