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Sequences with high nonlinear complexity

Published 5 Dec 2013 in cs.IT, math.IT, and math.NT | (1312.1583v1)

Abstract: We improve lower bounds on the $k$th-order nonlinear complexity of pseudorandom sequences over finite fields and we establish a probabilistic result on the behavior of the $k$th-order nonlinear complexity of random sequences over finite fields.

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