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Minimum distance of logarithmic and fractional partial m-sequences

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2 Author(s)
P. V. Kumar ; Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA ; V. K. Wei

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 log2 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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IEEE Transactions on Information Theory  (Volume:38 ,  Issue: 5 )