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Symmetric Boolean functions with high nonlinearity
Abstract : It is known that the symmetric Boolean functions with optimal nonlinearity are the quadratic functions. Here, we extend this work and we characterise the functions with suboptimal nonlinearity by using the link between the periodicity of their simplified value vectors and their algebraic degrees.
Cited literature [4 references]
https://hal.inria.fr/hal-00675349
Contributor : Marion Videau Connect in order to contact the contributor
Submitted on : Wednesday, February 29, 2012 - 7:38:47 PM
Last modification on : Friday, January 21, 2022 - 3:17:28 AM
Long-term archiving on: : Thursday, June 14, 2012 - 5:08:23 PM
Contributor : Marion Videau Connect in order to contact the contributor
Submitted on : Wednesday, February 29, 2012 - 7:38:47 PM
Last modification on : Friday, January 21, 2022 - 3:17:28 AM
Long-term archiving on: : Thursday, June 14, 2012 - 5:08:23 PM
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videau05.pdf
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