On Maximal Families of Binary Polynomials with Pairwise Linear Common
Factors
On Maximal Families of Binary Polynomials with Pairwise Linear Common
Factors
We consider the construction of maximal families of polynomials over the finite field $\mathbb{F}_q$, all having the same degree $n$ and a nonzero constant term, where the degree of the GCD of any two polynomials is $d$ with $1 \le d\le n$. The motivation for this problem lies in a …