'Eric Schost

collaborators

2 papers

cs.SC2026

Fast Deterministic Normal Bases and Circulant Polynomial Determinants

Mark Giesbrecht, Armin Jamshidpey, Ãric Schost

Let $E = F_{q} [x] / (I^)$ be an algebraic extension of degree $n$ over the finite field $F_{q}$ , given by a $I^ \in F_{q} [x]$ monic and irreducible. It is clas…

math.AC2026

Primes of bad reduction for systems of polynomial equations

Jesse Elliott, Ãric Schost

Consider polynomials $F_{1}, \dots, F_{s}$ in $\K[X_1,\dots,X_n]$ over a field $\K$, their zero-set $V (F_{1}, \dots, F_{n})$ in $\Kbar^n$ and its decomposition into equidimensional components…