✦ LIBER ✦

A natural generalization of orthogonality of Latin squares

✍ Scribed by M. Liang

Book ID: 116410133
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 235 KB
Volume: 312
Category: Article
ISSN: 0012-365X
DOI: 10.1016/j.disc.2012.05.021

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A generalization of sum composition: Sel

A generalization of sum composition: Self orthogonal Latin square design with sub self orthogonal Latin square designs

✍ A Hedayat 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 459 KB

Embedding a latin square in a pair of or

Embedding a latin square in a pair of orthogonal latin squares

✍ Peter Jenkins 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB

## Abstract In this paper, it is shown that a latin square of order __n__ with __n__ ≥ 3 and __n__ ≠ 6 can be embedded in a latin square of order __n__^2^ which has an orthogonal mate. A similar result for idempotent latin squares is also presented. © 2005 Wiley Periodicals, Inc. J Combin Designs 1

The Orthogonality Spectrum for Latin Squ

The Orthogonality Spectrum for Latin Squares of Different Orders

✍ Peter Dukes, Jared Howell 📂 Article 📅 2011 🏛 Springer Japan 🌐 English ⚖ 160 KB

Construction of doubly diagonalized orth

Construction of doubly diagonalized orthogonal latin squares

✍ Charles C. Lindner 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 667 KB

Maximal sets of mutually orthogonal Lati

Maximal sets of mutually orthogonal Latin squares

✍ David A. Drake; G.H.J. van Rees; W.D. Wallis 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 444 KB

Maximal sets of s mutually orthogonal Latin squares of order v are constructed for infinitely many new pairs (s,v).

Existence of conjugate orthogonal diagon

Existence of conjugate orthogonal diagonal Latin squares

✍ F. E. Bennett; B. Du; H. Zhang 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 151 KB 👁 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