Asymptotic enumeration of correlation-immune boolean functions

A boolean function of n boolean variables is correlation-immune of order k if the function value is uncorrelated with the values of any k of the arguments. Such functions are of considerable interest due to their cryptographic properties, and are also related to the orthogonal arrays of statistics and the balanced hypercube colourings of combinatorics. The weight of a boolean function is the number of

• Type: Journal
• Year: 2010
• Where: CCDS
• Authors: E. Rodney Canfield, Zhicheng Gao, Catherine S. Greenhill, Brendan D. McKay, Robert W. Robinson
• Keywords: Balanced Hypercube Colourings, Boolean Function, CCDS 2010, Function Value