Journal
DISCRETE APPLIED MATHEMATICS
Volume 262, Issue -, Pages 1-12Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.dam.2019.02.041
Keywords
Rotation symmetric Boolean function; Algebraic immunity; Nonlinearity; Algebraic degree; Fast algebraic immunity
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Funding
- National Natural Science Foundation of China [61103244, U1509213, 61672303, 61702318]
- Science and Technology Planning Project of Guangdong Province, China [2016B010124012, 2016B090920095]
- Special Funds for Guangdong Science and Technology Innovation Strategy, China [180917104960489]
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Rotation symmetric Boolean functions have raised widespread attention because of the good properties in cryptosystem. This paper presents a new construction of odd-variable rotation symmetric Boolean functions with optimal algebraic immunity. The nonlinearity of the new functions is higher than some existing theoretical constructions of rotation symmetric Boolean functions with optimal algebraic immunity. Further, it is also checked that such functions have almost optimal immunity against fast algebraic attacks for small variables. Besides, the algebraic degree of the constructed functions is also high enough. (C) 2019 Elsevier B.V. All rights reserved.
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