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- Title
Large Sets of Orthogonal Arrays and Multimagic Squares.
- Authors
Zhang, Yong; Chen, Kejun; Lei, Jianguo
- Abstract
Large sets of orthogonal arrays (LOA) have been used to construct resilient functions and zigzag functions by D. R. Stinson. In this paper, a special kind of LOA, strong double large sets of orthogonal arrays (SDLOA), is introduced and some constructions are provided. Meanwhile, a construction of multimagic squares based on SDLOAs is also given. As its application, it is proved that a t-multimagic square of order
- Subjects
SET theory; ORTHOGONAL arrays; FUNCTIONAL analysis; STINSON, D. R.; MATHEMATICAL proofs; MATHEMATICAL analysis
- Publication
Journal of Combinatorial Designs, 2013, Vol 21, Issue 9, p390
- ISSN
1063-8539
- Publication type
Article
- DOI
10.1002/jcd.21338