Further results on planar DO functions and commutative semifields

Guobiao Weng; Xiangyong Zeng

首页> 外文期刊>Designs, Codes and Crytography >Further results on planar DO functions and commutative semifields

【24h】

Further results on planar DO functions and commutative semifields

机译：平面DO函数和交换半场的进一步结果

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

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.

机译：证明了任何Dembowski-Ostrom多项式都是且仅当其评估图为2比1时才是平面的，这可以用来解释一些已知的平面Dembowski-Ostrom多项式。如果相应的半场在其核上具有奇数维，则在平面Dembowski-Ostrom多项式与置换多项式之间建立直接连接。另外，对所有3〜5阶的交换半场进行分类。

著录项

来源
《Designs, Codes and Crytography》 |2012年第3期|p.413-423|共11页
作者
Guobiao Weng; Xiangyong Zeng;
展开▼
作者单位

School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, People's Republic of China;

Faculty of Mathematics and Computer Science, Hubei University, Hubei 430062, People's Republic of China;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
semifields; planar functions; difference sets;

机译：半场平面功能;差异集;

相似文献

外文文献
中文文献
专利

1. Planar polynomials for commutative semifields with specified nuclei [J] . Robert S. Coulter, Marie Henderson, Pamela Kosick Designs, Codes and Crytography . 2007,第1a3期

机译：具有指定原子核的交换半场的平面多项式
2. The Markov Chain Tree Theorem in commutative semirings and the State Reduction Algorithm in commutative semifields [J] . Gursoy Buket Benek, Kirkland Steve, Mason Oliver, Linear Algebra and its Applications . 2015,第Null期

机译：交换半环中的马尔可夫链树定理和交换半域中的状态约简算法
3. Classification of 8-dimensional rank two commutative semifields [J] . Lavrauw Michel, Rodgers Morgan Advances in geometry . 2019,第1期

机译：8维等级的分类两种换向半导体
4. A Construction of Differentially 4-Uniform Functions from Commutative Semifields of Characteristic 2 [C] . Nobuo Nakaeawa, Satoshi Yoshiara International Workshop on Arithmetic of Finite Fields(WAIFI 2007); 200706; Madrid(ES) . 2007

机译：从特征2的交换半场构造微分4-一致函数
5. Commutative semifields of odd order and planar Dembowski-Ostrom polynomials. [D] . Kosick, Pamela. 2010

机译：奇数阶和平面Dembowski-Ostrom多项式的交换半场。
6. Non-commutative holomorphic functions on operator domains [O] . Jim Agler, John E. McCarthy -1

机译：算子域上的非交换全纯函数
7. Planar functions and commutative semifields [O] . Lilya Budaghyan, Tor Helleseth 2010

机译：平面函数和换向半导体
8. A Complete Unification Algorithm for Associative-Commutative Functions. [R] . Stickel, M. E. 1975

机译：关联交换函数的完全统一算法。

Further results on planar DO functions and commutative semifields

摘要

著录项

相似文献

相关主题

期刊订阅