Minimum distance of logarithmic and fractional partial m-sequences

Two results are presented concerning the partial periods (p-p's) of an m-sequence of period 2/sup n/-1. The first proves the existence of an m-sequence whose p-p's of length approximately (n+d log/sub 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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