JournalspmVol. 68, No. 3pp. 297–316

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

  • Mireille Car

    Université Aix-Marseille III, France
Sums of seventh powers in the polynomial ring $\mathbb{F}_{2^{m}}[T]$ cover
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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