New existence and nonexistence results for strong external difference families期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

New existence and nonexistence results for strong external difference families

Authors:	Jingjun Bao Lijun Ji Reizhong Wei Yong Zhang

Institution:	1. Department of Mathematics, Ningbo University, Ningbo 315211, China;2. Department of Mathematics, Soochow University, Suzhou, 215006, China;3. Department of Computer Science, Lakehead University, Thunder Bay, ON P7B 5E1, Canada;4. Department of Mathematics, Yancheng Teachers University, Yancheng 224051, China

Abstract:	In this paper, we use character-theoretic techniques to give new nonexistence results for $(n, m, k, λ)$ -strong external difference families (SEDFs). We also use cyclotomic classes to give two new classes of SEDFs with $m = 2$ .

Keywords:	Strong external difference family Algebraic manipulation detection code Character theory Cyclotomic number
本文献已被 ScienceDirect 等数据库收录！