Neave effect also occurs with Tausworthe sequences
Shu Tezuka
WSC 1991
We study the composition of random permutations drawn from a small family of O(n3) simple permutations on (0, 1)n. Specifically, we ask how many randomly selected simple permutations need be composed to yield a permutation that is close to k-wise independent. We improve on the results of Cowers (Combin Probab Comput 5 (1996) 119-130) and Hoory et al. (Presented at 31st ICALP 2004) and show that it suffices to compose min(O(n3k 2), Õ(n2k2)) random permutations from this family for any n ≥ 3 and k ≤ 2n - 2. The Õ notation suppresses a poly logarithmic factor in k and n. © 2007 Wiley Periodicals, Inc.
Shu Tezuka
WSC 1991
M. Tismenetsky
International Journal of Computer Mathematics
J.P. Locquet, J. Perret, et al.
SPIE Optical Science, Engineering, and Instrumentation 1998
Ronen Feldman, Martin Charles Golumbic
Ann. Math. Artif. Intell.