【摘 要】
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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
【机 构】
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Department of Information Research
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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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