Title :
A Nonlinear Boolean Function with Good Algebraic Immunity
Author :
Kim, Ju Young ; Song, Hong-Yeop
Author_Institution :
Yonsei Univ., Seoul
Abstract :
We describe the algebraic immunity and calculation of algebraic immunity of boolean functions. We propose a new balanced n-variable boolean function with high algebraic immunity. We check the nonlinearity of the new function for n < 20 and the algebraic immunity of the function in case of n < 18. We conjecture it has optimum algebraic immunity.
Keywords :
Boolean functions; cryptography; algebraic immunity; cryptography; nonlinear boolean function; Algorithm design and analysis; Boolean functions; Computer networks; Cryptography; Design methodology; Feedback; Galois fields; Hardware; Immunity testing; Shift registers; algebraic immunity; boolean function; nonlinearity;
Conference_Titel :
Signal Design and Its Applications in Communications, 2007. IWSDA 2007. 3rd International Workshop on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-1074-3
Electronic_ISBN :
978-1-4244-1074-3
DOI :
10.1109/IWSDA.2007.4408417
