当前位置: X-MOL 学术J. Algebraic Comb. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Automorphisms and isomorphisms of some p -ary bent functions
Journal of Algebraic Combinatorics ( IF 0.6 ) Pub Date : 2019-05-23 , DOI: 10.1007/s10801-019-00884-9
Ulrich Dempwolff

In the predecessor to this paper Dempwolff (Comm Algebra 34(3):1077–1131, 2006), group-theoretic methods were used to solve automorphism and equivalence questions for (certain) ordinary bent functions, i.e., bent functions over \(\mathbb {F}_2\). Here, we consider the same problems for p-ary bent functions, p an odd prime and solve these questions for functions analogous to those which appear in Dempwolff (Comm Algebra 34(3):1077–1131, 2006). Although our general analysis is similar to the approach of Dempwolff (Comm Algebra 34(3):1077–1131, 2006), it turns out that the odd characteristic leads to simplifications: Often, the double derivative can be computed (cf. Lemma 2.10) and factorizations of the automorphism group (cf. Lemma 2.3) can be established resulting in restrictions for automorphisms and equivalence maps.

中文翻译:

一些p-弯曲函数的自同构和同构

在本文的前身Dempwolff(Comm Algebra 34(3):1077-1131,2006)中,使用组理论方法来解决(某些)普通弯曲函数(即,\(\上的弯曲函数)的自同构和等价问题。 mathbb {F} _2 \)。在这里,我们考虑p-弯曲函数p的相同问题一个奇数质数,并用类似于登普沃尔夫(Dempwolff)中出现的功能解决这些问题(Comm Algebra 34(3):1077-1131,2006)。尽管我们的一般分析与Dempwolff的方法类似(Comm Algebra 34(3):1077-1131,2006),但事实证明,奇数特性导致了简化:通常,可以计算出双导数(参见引理2.10 )和自同构群的因式分解(请参见引理2.3),从而限制了自同构和等价图。
更新日期:2019-05-23
down
wechat
bug