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On Permutation Polynomials

โœ Scribed by Luyan Wang


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
92 KB
Volume
8
Category
Article
ISSN
1071-5797

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๐Ÿ“œ SIMILAR VOLUMES


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โœ N.S. James; R. Lidl ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 539 KB
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โœ Timothy C. Teitloff ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 109 KB

This paper contains a general characterization for the permutation polynomials of the symmetric matrices over any ยฎeld. Speciยฎc characterizations are for symmetric matrices over algebraically closed ยฎelds, principal axis ยฎelds, and ยฎnite ยฎelds. In the latter case enumeration formulas are established

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We give an exact characterization of permutation polynomials modulo n"2U, w52: ) is even, and (a #a #a #2) is even. We also characterize polynomials de"ning latin squares modulo n"2U, but prove that polynomial multipermutations (that is, a pair of polynomials de"ning a pair of orthogonal latin squa