M. Zaninelli

activity

20192023

most citedSums of squares in function fields over a henselian valued field

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2023★ 1 cited

Sums of squares in function fields over a henselian valued field

Karim Johannes Becher, Nicolas Daans, David Grimm +2

The Pythagoras number of a field is the smallest natural number $n$ such that every sum of squares in the field is a sum of $n$ squares. Given a nondyadic henselian valued field $(…

math.NT2022

Bounding the Pythagoras number of a field by $2^{n} + 1$

Karim Johannes Becher, Marco Zaninelli

Given a positive integer $n$ , a sufficient condition on a field is given for bounding its Pythagoras number by $2^{n} + 1$ . The condition is satisfied for $n = 1$ by function fields of c…

cs.CR2019

On some cryptographic properties of Boolean functions and their second-order derivatives

Augustine Musukwa, Massimiliano Sala, Marco Zaninelli

In this paper some cryptographic properties of Boolean functions, including weight, balancedness and nonlinearity, are studied, particularly focusing on splitting functions and cub…

Sums of squares in function fields over a henselian valued field

Bounding the Pythagoras number of a field by 2n+1

On some cryptographic properties of Boolean functions and their second-order derivatives

Bounding the Pythagoras number of a field by $2^{n} + 1$