A Study of Permutation Polynomials over Finite Fields
Let p be a prime and q = pk. The polynomial gn,q isin Fp[x] defined by the functional equation Sigmaa isin Fq (x+a)n = gn,q(xq- x) gives rise to many permutation polynomials over finite fields. We are interested in triples (n,e;q) for which gn,q is a permutation polynomial of Fqe. In Chapters 2, 3,...
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| Format: | Others |
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Scholar Commons
2013
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| Online Access: | http://scholarcommons.usf.edu/etd/4484 http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=5681&context=etd |