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» Bounds for Permutation Rate-Distortion
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IACR
2011
149views more  IACR 2011»
13 years 11 months ago
Improved zero-sum distinguisher for full round Keccak-f permutation
Keccak is one of the five hash functions selected for the final round of the SHA-3 competition and its inner primitive is a permutation called Keccakf. In this paper, we find t...
Ming Duan, Xuejia Lai
SIAMDM
2010
128views more  SIAMDM 2010»
14 years 9 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...
EJC
2010
14 years 11 months ago
On the distance between the expressions of a permutation
Abstract. We prove that the combinatorial distance between any two reduced expressions of a given permutation of {1, ..., n} in terms of transpositions lies in O(n4), a sharp bound...
Patrick Dehornoy, Marc Autord
IPL
2011
96views more  IPL 2011»
14 years 5 months ago
Restricted compositions and permutations: From old to new Gray codes
Any Gray code for a set of combinatorial objects defines a total order relation on this set: x is less than y if and only if y occurs after x in the Gray code list. Let ≺ denot...
Vincent Vajnovszki, Rémi Vernay
IPL
2000
111views more  IPL 2000»
14 years 11 months ago
On the performance of the first-fit coloring algorithm on permutation graphs
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
Stavros D. Nikolopoulos, Charis Papadopoulos