Abstract
This paper presents an efficient approach to the classification of the affine equivalence classes of cosets of the first order Reed-Muller code with respect to cryptographic properties such as correlation-immunity, resiliency and propagation characteristics. First, we apply the method to completely classify with this respect all the 48 classes into which the general affine group AGL(2,5) partitions the cosets of RM(1,5). Second, after distinguishing the 34 affine equivalence classes of cosets of RM(1,6) in RM(3,6) we perform the same classification for these classes.
The work described in this paper has been supported in part by the European Commission through the IST Programme under Contract IST-2002-507932 ECRYPT and by Concerted Research Action GOA Ambiorix 2005/11 of the Flemish Government. An Braeken is research assistent of the FWO.
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Braeken, A., Borissov, Y., Nikova, S., Preneel, B. (2005). Classification of Boolean Functions of 6 Variables or Less with Respect to Some Cryptographic Properties. In: Caires, L., Italiano, G.F., Monteiro, L., Palamidessi, C., Yung, M. (eds) Automata, Languages and Programming. ICALP 2005. Lecture Notes in Computer Science, vol 3580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11523468_27
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DOI: https://doi.org/10.1007/11523468_27
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