Minimum distance of logarithmic and fractional partial m-sequences

Kumar, P. V. ; Wei, V. K. (1992) Minimum distance of logarithmic and fractional partial m-sequences IEEE Transactions on Information Theory, 38 (5). pp. 1474-1482. ISSN 0018-9448

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Official URL: http://ieeexplore.ieee.org/document/149498/

Related URL: http://dx.doi.org/10.1109/18.149498

Abstract

Two results are presented concerning the partial periods (p-p's) of an m-sequence of period 2n-1. The first proves the existence of an m-sequence whose p-p's of length approximately (n+d log/2 n) have minimum distance between d and 2d for small d. The second result is of an asymptotic nature and proves that the normalized minimum distance of p-p's whose length is any fraction of the period of the m-sequence, approaches 1/2 as the period of m-sequence tends to infinity.

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