Title :
On the existence of (9,3,5,240) resilient functions
Author :
Saber, Z. ; Uddin, M.F. ; Youssef, A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Canada
fDate :
5/1/2006 12:00:00 AM
Abstract :
Using a heuristic search technique, several examples for 9-variable Boolean functions with nonlinearity 240, algebraic degree 5, and resiliency degree 3 were constructed. This construction affirmatively answers the open problem about the existence of such functions.
Keywords :
Boolean functions; cryptography; search problems; Boolean function; algebraic degree; heuristic search technique; resilient function; Boolean functions; Cost function; Councils; Cryptography; Hamming weight; Information systems; Instruction sets; Systems engineering and theory; Boolean functions; cryptography; resilient functions;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.872862
