A new family of semifields with 2 parameters

作者：Zhou, Yue; Pott, Alexander^*

来源：Advances in Mathematics, 2013, 234: 43-60.

DOI：10.1016/j.aim.2012.10.014

• Commutative semifield
• Isotopism
• Planar function
• Projective plane

A new family of commutative semifields with two parameters is presented. Its left and middle nucleus are both determined. Furthermore, we prove that for different pairs of parameters, these semifields are not isotopic. It is also shown that, for some special parameters, one semifield in this family can lead to two inequivalent planar functions. Finally, using a similar construction, new APN functions are given.

• 出版日期2013-2-15
• 单位中国人民解放军国防科学技术大学