%0 Journal Article
%T Generalized Difference Sets and Almost Perfect Sequences<br>广义差集与几乎完美序列
%A CAO Xiwang
%A QIU Weisheng
%A <br>曹喜望
%J 系统科学与数学
%D 2008
%I 
%X 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 $\pm 1$ 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.
%K Generalized difference sets
%K almost perfect sequences
%K correlation functions<br>广义差集
%K 几乎完美序列
%K 相关函数.
%K 相对差集
%K 完美序列
%K PERFECT
%K SEQUENCES
%K SETS
%K DIFFERENCE
%K 方法
%K 对应
%K 条件
%K 存在
%K 一类广义
%K 可分差集
%K 背景
%K 层次
%K 理论
%K 组合结构
%K 三值
%K 自相关函数
%K 特征序列
%K 应用
%K 性质
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=FD17131E04A9074FBED643E3A90CBD52&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=CA4FD0336C81A37A&sid=CDEBD1ACE0A4C1C1&eid=1F199509C0B6C4D6&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=8