報告人

曾祥勇

舉辦單位

科技處、學科辦、研究生處、數統學院

報告題目

A Class of Quadrinomial Permutations with Boomerang Uniformity Four

報告時間

2020年10月15日下午4:30-5:50

報告地點

南區數統樓406

報告人

所屬單位

湖北大學 數學與統計學學院

報告人職稱/職務

教授，博士生導師，數統學院院長

報告內容簡介

In Eurocrypt'18, Cid et al. proposed a new cryptanalysis tool called Boomerang Connective Table (BCT), to evaluate S-boxes of block ciphers. Later, Boura and Canteaut further investigated} the new parameter Boomerang uniformity for cryptographic S-boxes. It is of great interest to find new S-boxes with low Boomerang uniformity for even dimensions. In this topic, we discuss and prove that a class of permutation quadrinomials over F_{2^{2m}} withmodd has Boomerang uniformity four, which gives the fifth class of red such kind of permutation polynomials. Further, the occurrences of0and4in the BCTs of the investigated permutation polynomials are also completely determined.