Abstract
Two latin squares of side n are r-orthogonal if, when superimposed, there are exactly r distinct ordered pairs. In this paper, it is established that for all n ≥ 27, r-orthogonal latin squares of side n exist if and only if n + 2 ≤ r ≤ n 2 — 2 or r ∊ {n, n 2}. An almost complete solution is given for smaller sides.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
