Notes onq-ary interleaved sequences |
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Authors: | Shaoquan Jiang Zhongduo Dai Guang Gong |
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Institution: | (1) State Key Laboratory of Information Security and Department of Mathematics, Graduate School of University of Science and Technology of China, 100039 Beijing, China;(2) Department of Combinatorics and Optimization, University of Waterloo, Waterloo Untano NZL, Canada |
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Abstract: | (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. |
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Keywords: | interleaved sequences linear spans periods |
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