%0 Journal Article
%T Notes on q-ary interleaved sequences
%A JIANG shaoquan
%A DAI Zhongduo
%A GONG Guang
%A
%J 科学通报(英文版)
%D 2000
%I
%X (f(x), m)-interleaved sequences over Fq have been proposed and studied. Roughly speaking, an (f(x), m)-interleaved sequence is a sequence which is made of (or say, interleaved by)m component sequences with a common characteristic polynomial (f(x)(∈ Fqx]). In this note, (f(x), m)-interleaved sequences are studied further. As a result, it is made clear how their minimal characteristic polynomials, linear spans and periods are determined by their component sequences. And also, their period distribution and the number of (f(x), m)-interleaved sequences with maximal linear spans are derived. Furthermore, a large number of interleaved sequences with the lowest correlation among all the (f(x), m)-interleaved sequences are constructed.
%K interleaved sequences
%K linear spans
%K periods
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=96E6E851B5104576C2DD9FC1FBCB69EF&jid=DD6615BC9D2CFCE0B6F945E8D5314523&aid=7FCFC528E2DE827C&yid=9806D0D4EAA9BED3&vid=94E7F66E6C42FA23&iid=B31275AF3241DB2D&sid=51F9E747BA1ACB45&eid=B7B25E832E7F23D8&journal_id=1001-6538&journal_name=科学通报(英文版)&referenced_num=0&reference_num=7