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本文给出了GF(q~m)上周期序列的分量序列产生GF(q)上m-序列的一个充要条件,并指出了产生GF(q)上m-序列的GF(q~m)周期序列的分类。我们还给出了由GF(q~m)中m-序列产生GF(q)中m-序列的一个判别法。
In this paper, we give a necessary and sufficient condition for generating m-sequence on GF (q) by component sequence of GF (q ~ m) and point out that GF (q ~ m) The classification of periodic sequences. We also give a discriminant method for generating m-sequences in GF (q) from m-sequences in GF (q ~ m).