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math.NT2024
Existence of normal elements with prescribed norms
Arthur Fernandes, Daniel Panario, Lucas Reis
For each positive integer , let be the unique -degree extension of the finite field with elements, where is a prime power. It is known…
math.NT2023★ 1 cited
Functional graphs of generalized cyclotomic mappings of finite fields
Alexander Bors, Daniel Panario, Qiang Wang
The functional graph of a function is the directed graph with vertex set the edges of which are of the form for . Functional grap…
math.NT2021
Comparing balanced -sequences obtained from ElGamal function to random balanced sequences
Daniel Panario, Lucas Pandolfo Perin, Brett Stevens
In this paper, we investigate the randomness properties of sequences in derived from permutations in using the remainder function modulo , wher…