Journal
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Volume E102A, Issue 6, Pages 818-824Publisher
IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
DOI: 10.1587/transfun.E102.A.818
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 [2016B010124012, 2016B090920095]
- Special Funds for Guangdong Science and Technology Innovation Strategy [180917104960489]
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Rotation symmetric Boolean functions which are invariant under the action of cyclic group have been used in many different cryptosystems. This paper presents a new construction of balanced odd-variable rotation symmetric Boolean functions with optimum algebraic immunity. It is checked that, at least for some small variables, such functions have very good behavior against fast algebraic attacks. Compared with some known rotation symmetric Boolean functions with optimum algebraic immunity, the new construction has really better nonlinearity. Further, the algebraic degree of the constructed functions is also high enough.
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