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ECCC
2010
111views more  ECCC 2010»
13 years 7 months ago
Pseudorandom Generators for Group Products
We prove that the pseudorandom generator introduced in [INW94] fools group products of a given finite group. The seed length is O(log n log 1 ), where n the length of the word and...
Michal Koucký, Prajakta Nimbhorkar, Pavel P...
EJC
2007
13 years 7 months ago
Symmetric functions, generalized blocks, and permutations with restricted cycle structure
We present various techniques to count proportions of permutations with restricted cycle structure in finite permutation groups. For example, we show how a generalized block theo...
Attila Maróti
JCT
2008
103views more  JCT 2008»
13 years 7 months ago
A bijective proof of Jackson's formula for the number of factorizations of a cycle
Factorizations of the cyclic permutation (1 2 . . . N) into two permutations with respectively n and m cycles, or, equivalently, unicellular bicolored maps with N edges and n whit...
Gilles Schaeffer, Ekaterina A. Vassilieva
RSA
2008
89views more  RSA 2008»
13 years 7 months ago
Simple permutations mix even better
We study the random composition of 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...
Alex Brodsky, Shlomo Hoory
DCC
2006
IEEE
14 years 7 months ago
Uncoverings-by-bases for base-transitive permutation groups
An uncovering-by-bases for a group G acting on a finite set is a set U of bases for G such that any r-subset of is disjoint from at least one base in U, where r is a parameter d...
Robert F. Bailey