Weil sums of binomials and Helleseth's Conjecture

10/08/2013 - 12:15pm
10/08/2013 - 1:10pm
Daniel Katz (Cal State Northridge)

Weil sums of binomials with additive characters are of interest not only because they are used to count rational points on varieties in arithmetic geometry, but also because they tell us the nonlinearity of power permutations used by cryptographers, the correlation properties of sequences used in communications networks, and the weight distributions of error-correcting codes. We discuss some recent results that we have obtained concerning these Weil sums, including the proof in characteristic 2 of a 1976 conjecture of Helleseth.

Mudd Science Library 126, Pomona College