Title :
Good Second-Order Nonlinearity of a Subclass of Kasami Function on Five, Seven and Nine Variables
Author_Institution :
Dept. of Math., Indian Inst. of Technol. Roorkee, Roorkee, India
Abstract :
In this paper we find the lower bounds of second-order nonlinearity of a subclass of kasami function on five, seven and nine variables. It is also shown that these bounds are better than the bounds obtained by Li, Hu and Gao (http://eprint.iacr.org/2010/009.pdf.). We also compared these bounds with the maximum known hamming distance of second-order Reed-Muler codes.
Keywords :
Boolean functions; Reed-Muller codes; kasami function; maximum known hamming distance; second order Reed-Muler codes; second order nonlinearity; Approximation methods; Boolean functions; Computer science; Cryptography; Hamming distance; Kernel; Polynomials; Boolean function; Derivative; Second-order nonlinearity; Walsh-spectrum;
Conference_Titel :
Communication Systems and Network Technologies (CSNT), 2011 International Conference on
Conference_Location :
Katra, Jammu
Print_ISBN :
978-1-4577-0543-4
Electronic_ISBN :
978-0-7695-4437-3
DOI :
10.1109/CSNT.2011.134
