Quadratic permutations, complete mappings and mutually orthogonal latin squares
Keyword(s):
AbstractWe investigate the permutation behavior of a special class of Dembowski-Ostrom polynomials over a finite field of characteristic 2 of the formOne of the newly identified classes contains a subclass of complete mappings. We use these complete mappings to define new sets of mutually orthogonal Latin squares, as well as new vectorial bent functions from the Maiorana-McFarland class. Moreover, the quasigroup polynomials obtained in the process are different and inequivalent to the previously known ones.
1995 ◽
Vol 38
(1)
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pp. 133-149
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1979 ◽
Vol 31
(3)
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pp. 617-627
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1971 ◽
Vol 11
(1)
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pp. 101-105
1976 ◽
Vol 41
(2)
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pp. 391-404
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2018 ◽
Vol 18
(13&14)
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pp. 1152-1164
1988 ◽
Vol 31
(4)
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pp. 409-413
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