Generalized Difference Sets and Almost Perfect Sequences
CAO Xiwang(1)(2),QIU Weisheng(3)
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(1)Department of Mathematics, Nanjing University of Aeronautics and stronautics;(2)State key Laboratory of Information Security, Beijing 100049;(3)Department of Mathematical Sciences, Peking University, Beijing 100871
The concept and some preliminary properties of generalized difference sets are proposed. In view of application, generalized difference sets are such a kind of combinatorial structures whose characteristic sequences have (at most) triple-valued autocorrelation functions. Therefore, generalized difference sets are not only a generalization in the respect of conception, but also have some application backgrounds. In fact, some examples are given, which show that there are some generalized difference sets such that they are neither divisible difference sets, nor relative difference sets. Moreover, some examples are presented here to illustrate that our methods works for obtaining almost perfect sequences.
CAO Xiwang
, QIU Weisheng. , {{custom_author.name_en}}.
Generalized Difference Sets and Almost Perfect Sequences. Journal of Systems Science and Mathematical Sciences, 2008, 28(1): 121-128 https://doi.org/10.12341/jssms10048
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