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

Abstract : Let F be a finite field with even characteristic and q >= 16 elements. We study representations of polynomials P is an element of F [T] as sums P = X-1(7) + ... + X-s(7).
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Journal articles

https://hal.archives-ouvertes.fr/hal-01311322
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Submitted on : Wednesday, May 4, 2016 - 10:25:34 AM
Last modification on : Wednesday, October 10, 2018 - 1:26:14 AM

### Citation

Mireille Car. Sums of seventh powers in the polynomial ring $\mathbb{F}_{2^{m}}[T]$. Portugaliae Mathematica, 2011, 68 (3), pp.297-316. ⟨10.4171/PM/1893⟩. ⟨hal-01311322⟩

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