If one set lies in a k-coordinatable plane and |A||B| ≥ 2q^d, then |Δ(A,B)| ≥ q/2, recovering optimal Erdős-Falconer thresholds in odd dimensions.
Grove, Classical Groups and Geometric Algebra , Grad
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The Erd\H{o}s-Falconer distance problem between arbitrary sets and $k$-coordinatable sets in finite fields
If one set lies in a k-coordinatable plane and |A||B| ≥ 2q^d, then |Δ(A,B)| ≥ q/2, recovering optimal Erdős-Falconer thresholds in odd dimensions.