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ASIACRYPT
2000
Springer
14 years 5 days 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 7 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 11 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