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http://dx.doi.org/10.4134/CKMS.2009.24.2.171

PERMUTATION FUNCTIONS ARISING FROM INTERPOLATIONS  

Jeong, Sangtae (DEPARTMENT OF MATHEMATICS INHA UNIVERSITY)
Lee, Hyeon-Ok (DEPARTMENT OF MATHEMATIC INHA UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.24, no.2, 2009 , pp. 171-180 More about this Journal
Abstract
In this paper, we give three criteria for non-polynomial functions interpolated from the set of univariate polynomials of degree less than m over a finite field to be a permutation on the same set.
Keywords
$A_m$-permutation functions; $A_m$-permutation polynomials; extended Hermite-Dickson criterion; Carlitz polynomials; digit derivatives;
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