Constructions of External Difference Families and Disjoint Difference Families |
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| Authors: | Yanxun Chang Cunsheng Ding |
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| Affiliation: | (1) Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China;(2) Department of Computer Science, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China |
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| Abstract: | External difference families (EDFs) are a type of new combinatorial designs originated from cryptography. In this paper, some earlier ideas of recursive and cyclotomic constructions of combinatorial designs are extended, and a number of classes of EDFs and disjoint difference families are presented. A link between a subclass of EDFs and a special type of (almost) difference sets is set up. |
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| Keywords: | Difference sets Difference systems of sets Disjoint difference families External difference families |
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