Abstract
In this paper, distribution of r-patterns in the highest level of p—adic expansion of some linear recursion sequences of degree m over Galois ring R = GR(p tn, p n) is evaluated. As a consequence, this distribution is shown to be asymptotically uniform with respect to the degree m.
Work supported by the 973 Foundation of China (Grant No.Gl999035804) and the National Natural Science Foundation of China (Grant No.69773015).
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Dai, Z., Ye, D., Wang, P., Fang, G. (2003). Distribution of R-Patterns in the Highest Level of P-Adic Expansion of Some Linear Recursion Sequences Over Galois Rings. In: No, JS., Song, HY., Helleseth, T., Kumar, P.V. (eds) Mathematical Properties of Sequences and Other Combinatorial Structures. The Springer International Series in Engineering and Computer Science, vol 726. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0304-0_9
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DOI: https://doi.org/10.1007/978-1-4615-0304-0_9
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