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Designs, Codes and Cryptography

, Volume 40, Issue 2, pp 167–185 | Cite as

Constructions of External Difference Families and Disjoint Difference Families

  • Yanxun Chang
  • Cunsheng Ding
Article

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.

Keywords

Difference sets Difference systems of sets Disjoint difference families External difference families 

AMS Classification

05B05 94A66 

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Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  1. 1.Department of MathematicsBeijing Jiaotong UniversityBeijingChina
  2. 2.Department of Computer ScienceThe Hong Kong University of Science and TechnologyKowloonChina

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