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个人信息Personal Information
副教授
硕士生导师
性别：男
毕业院校：北京大学
学位：博士
所在单位：数学科学学院
学科：基础数学. 应用数学
办公地点：创新园大厦B1103
电子邮箱：weng@dlut.edu.cn
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Further results on planar DO functions and commutative semifields
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论文类型：期刊论文
发表时间：2012-06-01
发表刊物：DESIGNS CODES AND CRYPTOGRAPHY
收录刊物：SCIE、EI
卷号：63
期号：3
页面范围：413-423
ISSN号：0925-1022
关键字：Semifields; Planar functions; Difference sets
摘要：It is proven that any Dembowski-Ostrom polynomial is planar if and only if its evaluation map is 2-to-1, which can be used to explain some known planar Dembowski-Ostrom polynomials. A direct connection between a planar Dembowski-Ostrom polynomial and a permutation polynomial is established if the corresponding semifield is of odd dimension over its nucleus. In addition, all commutative semifields of order 3(5) are classified.