Title
The Iterated Random Permutation Problem with Applications to Cascade Encryption
Abstract
We introduce and study the iterated random permutation problem, which asks how hard it is to distinguish, in a black-box way, the r-th power of a random permutation from a uniformly random permutation of a set of size N. We show that this requires Omega(N) queries (even for a two-sided, adaptive adversary). As a direct application of this result, we show that cascading a block cipher with the same key cannot degrade its security (as a pseudorandom permutation) more than negligibly.
Year
DOI
Venue
2015
10.1007/978-3-662-47989-6_17
ADVANCES IN CRYPTOLOGY, PT I
Keywords
Field
DocType
Iterated random permutation problem,Block cipher,Pseudorandom permutation,Cascade encryption
Permutation graph,Discrete mathematics,Combinatorics,Computer science,Random permutation statistics,Cyclic permutation,Random permutation,Theoretical computer science,Bit-reversal permutation,Pseudorandom permutation,Fisher–Yates shuffle,Partial permutation
Conference
Volume
ISSN
Citations 
9215
0302-9743
4
PageRank 
References 
Authors
0.54
21
2
Name
Order
Citations
PageRank
Brice Minaud11477.75
Yannick Seurin2144459.24