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We also investigate the existence of 3 HMOLS of type 2"31 and show that the necessary condition n >/6 is sufficient for such designs to exist except possibly for 18 values of n, of which n = 31 is the ... In this paper, we construct 23 new 3 HMOLS of type h". ... Acknowledgements This research was supported in part by NSERC grant A5320 and a grant from the Mount Saint Vincent University Committee on Research and Publications to the first author. ...doi:10.1016/0012-365x(95)00148-p fatcat:lyq7yhs7vfc63ot4ubc7vjitg4
In this paper, we present 16 new types of three holey mutually orthogonal Latin squares (3-HMOLS for short) with equal-sized holes, along with 7 sets of 4-HMOLS, 2 sets of 6-HMOLS, and 34 sets of 7-HMOLS ... We also provide some new sets of HMOLS that have n holes of size 2 and one hole of size 3. ... Vincent University when part of this resarch was done and wishes to thank their Department of Mathematics for the services provided. ...doi:10.1016/s0012-365x(97)00021-6 fatcat:ntkvmnkfz5balnz7z6eazeop5a