L. Gallardo

activity

20072023

F_{2}

with four prime factors

8 citations · 12 across the 17 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 1 cited

On (unitary) perfect polynomials over $F_{2}$ with only Mersenne primes as odd divisors

Luis H. Gallardo, Olivier Rahavandrainy

The only (unitary) perfect polynomials over $F_{2}$ that are products of $x$ , $x + 1$ and Mersenne primes are precisely the nine (resp. nine "classes") known ones. This follow…

math.NT2019

A Real eigenvector of Circulant matrices and a conjecture of Ryser

Luis H. Gallardo

We prove that there is no circulant Hadamard matrix $H$ with first row $[h_{1}, \dots, h_{n}]$ of order $n > 4$ , under a condition about a sum of scalar products of rows of two other…

On (unitary) perfect polynomials over F2​ with only Mersenne primes as odd divisors

A Real eigenvector of Circulant matrices and a conjecture of Ryser

On (unitary) perfect polynomials over $F_{2}$ with only Mersenne primes as odd divisors