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On the conjecture about the nonexistence of rotation symmetric bent functions

In this paper, we describe a different approach to the proof of the nonexistence of homogeneous rotation symmetric bent functions. As a result, we obtain some new results which support the conjecture made in this journal, i.e., there are no homogeneous rotation symmetric bent functions of degree >2. Also we characterize homogeneous degree 2 rotation symmetric bent functions by using GCD of polynomials.

preprint2013arXivOpen access
Xiyong ZhangGuangpu Gao
math.COCryptography and Security
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Xiyong ZhangGuangpu Gao

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