Sums of seventh powers in the polynomial ring F2m[T]\mathbb{F}_{2^{m}}[T]

  • Mireille Car

    Université Aix-Marseille III, France

Abstract

Let FF be a finite field with even characteristic and q16q\geq16 elements. We study representations of polynomials PF[T]P\in F[T] as sums P=X17++Xs7P = X_{1}^{7} +\cdots + X_{s}^{7}.

Cite this article

Mireille Car, Sums of seventh powers in the polynomial ring F2m[T]\mathbb{F}_{2^{m}}[T]. Port. Math. 68 (2011), no. 3, pp. 297–316

DOI 10.4171/PM/1893