A generalization of the Goresky-Klapper conjecture, Part I
SIAM JOURNAL ON DISCRETE MATHEMATICS(2018)
摘要
For a fixed integer n >= 2, we show that a permutation of the least residues mod p of the form f(x) = Ax(k) mod p cannot map a residue class mod n to just one residue class mod n once p is sufficiently large, other than the maps f(x) = +/- x mod p when n is even and f(x) = +/- x or +/- x((p+1)/2) mod p when n is odd.
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关键词
permutations,Goresky-Klapper conjecture
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