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ASIACRYPT
2000
Springer
13 years 9 months ago
On Relationships among Avalanche, Nonlinearity, and Correlation Immunity
We establish, for the first time, an explicit and simple lower bound on the nonlinearity Nf of a Boolean function f of n variables satisfying the avalanche criterion of degree p, ...
Yuliang Zheng, Xian-Mo Zhang
DCC
2000
IEEE
13 years 5 months ago
Relating Differential Distribution Tables to Other Properties of of Substitution Boxes
Due to the success of differential and linear attacks on a large number of encryption algorithms, it is importanttoinvestigaterelationshipsamongvariouscryptographic, includingdiffe...
Xian-Mo Zhang, Yuliang Zheng, Hideki Imai
SACRYPT
2000
Springer
107views Cryptology» more  SACRYPT 2000»
13 years 9 months ago
Improved Upper Bound on the Nonlinearity of High Order Correlation Immune Functions
It has recently been shown that when m > 1 2 n - 1, the nonlinearity Nf of an mth-order correlation immune function f with n variables satisfies the condition of Nf 2n-1 - 2m ,...
Yuliang Zheng, Xian-Mo Zhang