Construction of Resilient Functions with Multiple Cryptographic Criteria

Authors:
Chao Li;Shaojing Fu;Bing Sun
Affiliations:
Department of Mathematics and System Science Science College, National University of Defence Technology, Changsha, China 410073 and National Mobile Communications Research Laboratory, Southeast Un ...;Department of Mathematics and System Science Science College, National University of Defence Technology, Changsha, China 410073;Department of Mathematics and System Science Science College, National University of Defence Technology, Changsha, China 410073
Venue:
CANS '08 Proceedings of the 7th International Conference on Cryptology and Network Security
Year:
2008

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Abstract

Based on a [u ,m ,t + 1]-code C , an approach to construct (n , m , t ) resilient functions with multiple cryptographic criteria including high nonlinearity, high algebraic degree and nonexistence of nonzero linear structure is described. Particularly, when u = 2m , this kind of construction can be made simply.