23 citations · 59 across the 22 of their papers we have counts for
9 papers · 1 filter
On Canonical Subfield Preserving Polynomials
Giacomo Micheli, Davide Schipani
Explicit monoid structure is provided for the class of canonical subfield preserving polynomials over finite fields. Some classical results and asymptotic estimates will follow as…
The Rabin cryptosystem revisited
Michele Elia, Matteo Piva, Davide Schipani
The Rabin public-key cryptosystem is revisited with a focus on the problem of identifying the encrypted message unambiguously for any pair of primes. In particular, a deterministic…
Additive decompositions induced by multiplicative characters over finite fields
Davide Schipani, Michele Elia
In 1952, Perron showed that quadratic residues in a field of prime order satisfy certain ad- ditive properties. This result has been generalized in different directions, and our co…
Gauss sums of cubic characters over , odd
Michele Elia, Davide Schipani
An elementary approach is shown which derives the values of the Gauss sums over , odd, of a cubic character without using Davenport-Hasse's theorem. New links…
Improvements on Cantor-Zassenhaus Factorization Algorithm
Michele Elia, Davide Schipani
After revisiting Cantor-Zassenhaus polynomial factorization algorithm, we describe a new simplified version of it, which requires less computational cost. Moreover we show that it…
Gauss Sums of the Cubic Character over : an elementary derivation
Davide Schipani, Michele Elia
An elementary approach is shown which derives the value of the Gauss sum of a cubic character over a finite field without using Davenport-Hasse's theorem (namely,…