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arXiv · 1303.2282

On the conjecture about the nonexistence of rotation symmetric bent functions

Xiyong Zhang·Guangpu Gao
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Abstract

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.

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Xiyong Zhang, Guangpu Gao. 2013-03-10. On the conjecture about the nonexistence of rotation symmetric bent functions. https://arxiv.org/abs/1303.2282

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