184 citations
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math.NT2009★ 1 cited
Expected Frobenius numbers
Iskander Aliev, Martin Henk, Aicke Hinrichs
We show that for large instances the order of magnitude of the expected Frobenius number is (up to a constant depending only on the dimension) given by its lower bound.
math.NT2009
Constructing permutations of finite fields via linear translators
Gohar M. Kyureghyan
We describe several families of permutation polynomials obtained using functions with linear translators.
math.NT2008★ 1 cited
Integer Knapsacks: Average Behavior of the Frobenius Numbers
Iskander Aliev, Martin Henk
The main result of the paper shows that the asymptotic growth of the Frobenius number in average is significantly slower than the growth of the maximum Frobenius number.