Cyclotomic constructions of external difference families and disjoint difference families |
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| Authors: | B. Huang D. Wu |
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| Affiliation: | 1. Department of Mathematics, Guangxi Normal University, Guilin 541004, China;2. Department of Mathematics, Baise University, Baise 533000, P.R. China. |
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| Abstract: | External difference families (EDFs) are a type of new combinatorial designs originated from cryptography. Some results had been obtained by Chang and Ding, the connection between EDFs and disjoint difference families (DDFs) was also established. In this paper, further cyclotomic constructions of EDFs and DDFs are presented, and several classes of EDFs and DDFs are obtained. Answers to problems 1 and 4 by Chang and Ding are also given. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 333–341, 2009 |
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| Keywords: | difference sets external difference families disjoint difference families cyclotomic number |
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