Strongly orthogonal and uniformly orthogonal many-placed operations

• Date: 2018
• Main Authors: Belyavskaya, G., Mullen, Gary L.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: hypercube; orthogonal hypercubes; \(d\)-ary operation,\(d\)-ary quasigroup; orthogonal \(d\)-ary operations; strongly orthogonal operations; uniformly orthogonal operations; 20N05; 20N15; 05B15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/876
• Journal Title: Algebra and Discrete Mathematics

In [3] we have studied connection between orthogonal hypercubes and many-placed (\(d\)-ary) operations, have considered different types of orthogonality and their relationships. In this article we continue study of orthogonality of many-placed operations, considering special types of orthogonality s...