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» Counting Distance Permutations
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114
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PKC
2001
Springer
111views Cryptology» more  PKC 2001»
15 years 5 months ago
Cryptanalysis of PKP: A New Approach
Quite recently, in [4], a new time-memory tradeoff algorithm was presented. The original goal of this algorithm was to count the number of points on an elliptic curve, however, th...
Éliane Jaulmes, Antoine Joux
116
Voted
COMBINATORICS
1998
80views more  COMBINATORICS 1998»
15 years 14 days ago
Increasing Subsequences and the Classical Groups
We show that the moments of the trace of a random unitary matrix have combinatorial interpretations in terms of longest increasing subsequences of permutations. To be precise, we s...
Eric M. Rains
99
Voted
JCT
2011
141views more  JCT 2011»
14 years 7 months ago
Bijections for Baxter families and related objects
The Baxter number Bn can be written as Bn = n k=0 Θk,n−k−1 with Θk,ℓ = 2 (k + 1)2 (k + 2) k + ℓ k k + ℓ + 1 k k + ℓ + 2 k . These numbers have first appeared in the...
Stefan Felsner, Éric Fusy, Marc Noy, David ...
DM
2008
104views more  DM 2008»
15 years 25 days ago
On edge-weighted recursive trees and inversions in random permutations
We introduce random recursive trees, where deterministically weights are attached to the edges according to the labeling of the trees. We will give a bijection between recursive t...
Markus Kuba, Alois Panholzer
107
Voted
IJSNET
2006
133views more  IJSNET 2006»
15 years 22 days ago
On the hop count statistics for randomly deployed wireless sensor networks
: In this paper we focus on exploiting the information provided by a generally accepted and largely ignored hypothesis (the random deployment of the nodes of an ad hoc or wireless ...
Stefan Dulman, Michele Rossi, Paul J. M. Havinga, ...