| 0,1 distribution in the highest level sequences of primitive sequences over Z_(2~e) |
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| 作者姓名： | 范淑琴 韩文报 |
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| 作者单位： | Department of Information Research，Information Engineering University，Zhengzhou 450002，China，Department of Information Research，Information Engineering University，Zhengzhou 450002，China |
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| 摘 要： | In this paper, we discuss the 0,1 distribution in the highest level sequence αe-1 of primitive sequence over Z2e generated by a primitive polynomial of degree n. First we get an estimate of the 0,1 distribution by using the estimates of exponential sums over Galois rings, which is tight for e relatively small to n. We also get an estimate which is suitable for e relatively large to n. Combining the two bounds, we obtain an estimate depending only on n, which shows that the larger n is, the closer to 1/2 the proportion of 1 will be.
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0,1 distribution in the highest level sequences of primitive sequences over Z2e |
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| FAN Shuqin & HAN Wenbao.0,1 distribution in the highest level sequences of primitive sequences over Z_(2~e)[J].Science in China(Mathematics),2003,46(4). |
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| Authors: | FAN Shuqin & HAN Wenbao |
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| Institution: | Department of Information Research, Information Engineering University, Zhengzhou 450002, China |
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| Abstract: | In this paper, we discuss the 0, 1 distribution in the highest level sequence ae-1 of primitive sequence over Z2e generated by a primitive polynomial of degree n. First we get an estimate of the 0, 1 distribution by using the estimates of exponential sums over Galois rings, which is tight for e relatively small to n. We also get an estimate which is suitable for e relatively large to n. Combining the two bounds, we obtain an estimate depending only on n, which shows that the larger n is, the closer to 1/2 the proportion of 1 will be. |
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| Keywords: | primitive sequence highest level sequence Galois ring exponential sum over Galois ring 0 1 distribution |
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