Partitioned difference families and almost difference sets |
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Authors: | Xin Wang Jinhua Wang |
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Institution: | School of Sciences, Nantong University, Nantong 226007, PR China |
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Abstract: | Partitioned difference families (PDFs) were first studied by Ding and Yin in conjunction with the construction of constant composition codes (CCCs). In 2008, Yin et al. presented the constructions of a number of infinite classes of PDFs based on known difference sets in GF(q). In this paper, we further investigate the constructions of PDFs by using known almost difference sets in GF(q), and establish some recursive constructions of PDFs. As their applications, we also get a number of perfect difference systems of sets (DSSs) over Zq2 with q odd prime. |
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Keywords: | Partitioned difference families (PDFs) Difference sets Almost difference sets Difference systems of sets (DSSs) Cyclotomic classes |
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