| Distribution of Elements in Primitive Sequences over Zpe |
| Received:March 04, 2002 |
| Key Words:
primitive sequence over ring element distribution character sum
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| Fund Project:Supported by NNSF of China (19971096, 90104035) |
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| Abstract: |
| Using the estimates of character sums over Galois rings and the trace de- scription of primitive sequences over Zpe, we obtain an estimate for the frequency of the occurrences of any element in Zpe in one period of a primitive sequence, which is better than Kuzmin's results if n >4e, where n is the degree of the generating polynomial of the primitive sequence. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2004.02.006 |
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