Abstract
In this paper, the ranks of a special family of Maiorana-McFarland bent functions are discussed. The upper and lower bounds of the ranks are given and those bent functions whose ranks achieve these bounds are determined. As a consequence, the inequivalence of some bent functions are derived. Furthermore, the ranks of the functions of this family are calculated when t ⩽ 6.
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This work was supported by the National Natural Science Foundation of China (Grant Nos. 10571005, 60473019), 863 Project (Grant No. 2006AA01Z434) and NKBRPC (Grant No. 2004CB318000)
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Weng, G., Feng, R., Qiu, W. et al. The ranks of Maiorana-McFarland bent functions. Sci. China Ser. A-Math. 51, 1726–1731 (2008). https://doi.org/10.1007/s11425-007-0167-4
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DOI: https://doi.org/10.1007/s11425-007-0167-4