The minimal polynomial of a sequence obtained from the componentwise linear transformation of a linear recurring sequence

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The minimal polynomial of sequence obtained from componentwise linear transformation of linear recurring sequence

Let S = (s1, s2, . . . , sm, . . .) be a linear recurring sequence with terms in GF (q) and T be a linear transformation of GF (q) over GF (q). Denote T (S) = (T (s1), T (s2), . . . , T (sm), . . .). In this paper, we first present counter examples to show the main result in [A.M. Youssef and G. Gong, On linear complexity of sequences over GF (2), Theoretical Computer Science, 352(2006), 288-29...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2010

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2010.07.014