Strong difference families,difference covers,and their applications for relative difference families |
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Authors: | Koji Momihara |
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Institution: | (1) Graduate School of Information Science, Nagoya University, Furo-cho, Chikusa-ku 464-8601, Japan |
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Abstract: | In (M. Buratti, J Combin Des 7:406–425, 1999), Buratti pointed out the lack of systematic treatments of constructions for
relative difference families. The concept of strong difference families was introduced to cover such a problem. However, unfortunately,
only a few papers consciously using the useful concept have appeared in the literature in the past 10 years. In this paper,
strong difference families, difference covers and their connections with relative difference families and optical orthogonal
codes are discussed.
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Keywords: | Relative difference families Optical orthogonal codes Strong difference families Difference covers Sums of squares Partial difference sets Cyclotomic numbers |
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