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» Cross-intersecting families of permutations
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ALGORITHMICA
2011
12 years 12 months ago
Common Intervals of Multiple Permutations
Abstract Given k permutations of n elements, a k-tuple of intervals of these permutations consisting of the same set of elements is called a common interval. We present an algorith...
Steffen Heber, Richard Mayr, Jens Stoye
SIAMDM
2010
128views more  SIAMDM 2010»
13 years 3 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...
JCT
2010
65views more  JCT 2010»
13 years 3 months ago
Multiple cross-intersecting families of signed sets
A k-signed r-set on [n] = {1, ..., n} is an ordered pair (A, f), where A is an rsubset of [n] and f is a function from A to [k]. Families A1, ..., Ap are said to be cross-intersec...
Peter Borg, Imre Leader
PKC
2004
Springer
195views Cryptology» more  PKC 2004»
13 years 10 months ago
An RSA Family of Trap-Door Permutations with a Common Domain and Its Applications
Abstract. Bellare, Boldyreva, Desai, and Pointcheval [1] recently proposed a new security requirement of the encryption schemes called “keyprivacy.” It asks that the encryption...
Ryotaro Hayashi, Tatsuaki Okamoto, Keisuke Tanaka
RSA
2008
89views more  RSA 2008»
13 years 4 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