Burgess-type bounds for character sums over F_{p^n} hold under a purely volumetric condition |B| >= p^{n(1/4+epsilon)} with no coordinate-wise side-length restrictions.
SchmidtEquations over Finite Fields: An Elementary Approach, Lecture Notes in Mathematics
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Burgess-Type Bounds for Character Sums over $\mathbb{F}_{p^n}$
Burgess-type bounds for character sums over F_{p^n} hold under a purely volumetric condition |B| >= p^{n(1/4+epsilon)} with no coordinate-wise side-length restrictions.