Article
On the Statistical Independence of Shift-Register Pseudorandom Multisequence over Part of the Period
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Abstract
In this paper we construct a pseudorandom multisequence (x (n1,...,n r )) based on kth-order linear recurrences modulo p, such that the dis- crepancy of the s-dimensional multisequence (x (n1+i1,...,n r +i r ))1≤i j ≤s j ,1≤j≤r 1 ≤ n j ≤ N j , 1 ≤ j ≤ r is equal to O((N 1 · · · N r)−1/2 lns+3r(N 1 · · · N r)), where s = s 1 · · · s r, for all N 1 , ..., N r with 1 < N 1 · · · N r ≤ pk.
Keywords
pseudorandom sequence.
Citation
Volinsky, M. B. L. A. I. L. (2013). On the statistical independence of shift-register pseudorandom multisequence over part of the period. Uniform Distribution Theory, 8(1), 121–133.
M. B. L. A. I. L. Volinsky, “On the statistical independence of shift-register pseudorandom multisequence over part of the period,” Uniform Distribution Theory, vol. 8, no. 1, pp. 121–133, 2013.
Volinsky MBLAIL. On the statistical independence of shift-register pseudorandom multisequence over part of the period. Uniform Distribution Theory. 2013;8(1):121–133.
Volinsky, M. B. L. A. I. L. (2013), ‘On the statistical independence of shift-register pseudorandom multisequence over part of the period’, Uniform Distribution Theory, 8(1), pp. 121–133.
Volinsky, Mordechay B. Levin and Irina L. “On the Statistical Independence of Shift-register Pseudorandom Multisequence Over Part of the Period.” Uniform Distribution Theory, vol. 8, no. 1, 2013, pp. 121–133.
Volinsky, Mordechay B. Levin and Irina L. “On the Statistical Independence of Shift-register Pseudorandom Multisequence Over Part of the Period.” Uniform Distribution Theory 8, no. 1 (2013): 121–133.
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Published by: Engineering Journals
