Given A subset of F-p(2) a sufficiently small set in the plane over a prime residue field, we prove that there are at most O-is an element of(|A|(99/41+epsilon)) rectangles with corners in A. The exponent 99/41 = 2.413. . . improves slightly on the exponent of 17/7 = 2.428. . . due to Rudnev and Shkredov. Using this estimate we prove that the extension operator for the three dimensional paraboloid in prime order fields maps L-2 -> L-r for r > 188/53 = 3.547. . . improving the previous range of r >= 32/9 = 3.555.
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