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Splitting sums of binary polynomials

Luis H Gallardo
HAL (France) · Papers
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05a15
We study an analogue of a classical arithmetic problem over the ring of polynomials. We prove that m = 5 is the minimal number such that the sums of any two distinct polynomials in a set of m polynomials over F 2 [x] cannot all be of the form x k (x + 1) ℓ .
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