Notes on q-ary interleaved sequences
摘要
(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)(∈Fq [x]). in this note, (7(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 ali the (f(x), m)-interleaved sequences are constructed.
引用本文(GB/T 7714)
Shaoquan, Jiang, Zhongduo, 等. Notes on q-ary interleaved sequences[J]. 中国科学通报:英文版, 2000.
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