On Permutation Polynomials
โ 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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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
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