Claims

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1994_03_01_dias_da_silva_hamidoune: Theorem 4.1 of Dias da Silva and Hamidoune (Bull. London Math. Soc. 1994) bounds the sums of m distinct elements of A in characteristic p below by min(p, m|A| - m^2 + 1); m = 2 is the problem's bound. Accepted, refereed.

1995_03_01_alon_nathanson_ruzsa: Theorem 2 of Alon, Nathanson and Ruzsa (Amer. Math. Monthly 1995) derives the restricted-sumset bound min(p, 2k - 3) by the polynomial method; their 1996 paper reproves the general m-fold theorem. A second accepted proof, refereed.

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