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Nonlinear functions in abelian groups and relative difference sets
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Crosscorrelation of m-sequences, exponential sums, bent functions and Jacobsthal sums
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On three weights in cyclic codes with two zeros
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Generalized correlation analysis of Vectorial Boolean functions
FSE'07 Proceedings of the 14th international conference on Fast Software Encryption
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We prove the long-standing conjecture of Welch stating that for odd n=2m+1, the power function xd with d=2m+3 is maximally nonlinear on GF(2n) or, in other terms, that the crosscorrelation function between a binary maximum-length linear shift register sequence of degree n and a decimation of that sequence by 2m+3 takes on precisely the three values -1, -1±2m+1