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arxiv: 1312.1583 · v1 · pith:7KBQAUYKnew · submitted 2013-12-05 · 💻 cs.IT · math.IT· math.NT

Sequences with high nonlinear complexity

classification 💻 cs.IT math.ITmath.NT
keywords complexitynonlinearsequencesfieldsfiniteth-orderbehaviorbounds
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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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