共查询到20条相似文献,搜索用时 78 毫秒
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Vladimir Shchigolev 《Journal of Algebra》2009,321(5):1453-1462
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Dennis I. Merino 《Linear algebra and its applications》2012,436(7):1960-1968
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《Finite Fields and Their Applications》2006,12(1):103-127
For any sequence over , there is an unique 2-adic expansion , where and are sequences over and can be regarded as sequences over the binary field naturally. We call and the level sequences of . Let be a primitive polynomial of degree over , and be a primitive sequence generated by . In this paper, we discuss how many bits of can determine uniquely the original primitive sequence . This issue is equivalent with one to estimate the whole nonlinear complexity, , of all level sequences of . We prove that is a tight upper bound of if is a primitive trinomial over . Moreover, the experimental result shows that varies around if is a primitive polynomial over . From this result, we can deduce that is much smaller than , where is the linear complexity of level sequences of . 相似文献
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