5 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
Efficient evaluation of polynomials over finite fields
Davide Schipani, Michele Elia, Joachim Rosenthal
A method is described which allows to evaluate efficiently a polynomial in a (possibly trivial) extension of the finite field of its coefficients. Its complexity is shown to be low…
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,…