Title :
On new infinite family of high order correlation immune unbalanced Boolean functions
Author_Institution :
Mech. & Math. Dept., Moscow State Univ., Russia
Abstract :
We consider F2n, the vector space of n-tuples of elements from F2. An n-variable Boolean function is a map from F2n into F2. The weight of a vector x is the number of ones in x and is denoted by |x|. The weight wt(f) of a function f on F2n is the number of vectors x on F2n such that f(x) = 1. A function f is said to be balanced if wt(f) = wt(f ⊕ 1) = 2n-1. A subfunction of the Boolean function f is a function f´ obtained by substituting some constants for some variables in f.
Keywords :
Boolean functions; Walsh functions; cryptography; Boolean function; Walsh transform; cryptographic applications; high order correlation immune functions; infinite family; unbalanced functions; vector space; Boolean functions; Input variables; Resists;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023737