IACR paper details
Title  Classification of Cubic $(n4)$resilient Boolean Functions 

Booktitle  IACR Eprint archive 

Pages  

Year  2005 

URL  http://eprint.iacr.org/2005/332 

Author  An Braeken 

Author  Yuri Borissov 

Author  Svetla Nikova 

Author  Bart Preneel 

Abstract 
Carlet and Charpin classified in \cite{CC04} the set of cubic $(n4)$resilient Boolean functions into four different types with respect to the Walsh spectrum and the dimension of the linear space. Based on the classification of $RM(3,6)/RM(1,6)$, we completed the classification of the cubic $(n4)$resilient Boolean function by deriving the corresponding ANF and autocorrelation spectrum for each of the four types. In the same time, we solved an open problem of \cite{CC04} by proving that all plateaued cubic $(n4)$resilient Boolean functions have dimension of the linear space equal either to $n5$ or $n6$.


Search for the paper
@misc{eprint200512666,
title={Classification of Cubic $(n4)$resilient Boolean Functions},
booktitle={IACR Eprint archive},
keywords={secretkey cryptography / resilient cubic function, Walsh spectrum, linear space},
url={http://eprint.iacr.org/2005/332},
note={submitted to IEEE transactions on information theory An.Braeken@esat.kuleuven.ac.be 13048 received 22 Sep 2005},
author={An Braeken and Yuri Borissov and Svetla Nikova and Bart Preneel},
year=2005
}
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