Title
Beyond-birthday secure domain-preserving PRFs from a single permutation
Abstract
This paper revisits the fundamental cryptographic problem of building pseudorandom functions (PRFs) from pseudorandom permutations (PRPs). We prove that, SUMPIP, i.e. \(P \oplus P^{-1}\), the sum of a PRP and its inverse, and EDMDSP, the single-permutation variant of the “dual” of the Encrypted Davies–Meyer scheme introduced by Mennink and Neves (CRYPTO 2017), are secure PRFs up to \(2^{2n/3}/n\) adversarial queries. To our best knowledge, SUMPIP is the first parallelizable, single-permutation-based, domain-preserving, beyond-birthday secure PRP-to-PRF conversion method.
Year
DOI
Venue
2019
10.1007/s10623-018-0528-8
Designs, Codes and Cryptography
Keywords
Field
DocType
PRP-to-PRF, Beyond birthday bound, Domain preserving, 94A60, 68P25
Parallelizable manifold,Inverse,Discrete mathematics,Combinatorics,Cryptography,Permutation,Encryption,Mathematics,Pseudorandom number generator
Journal
Volume
Issue
ISSN
87
6
1573-7586
Citations 
PageRank 
References 
0
0.34
30
Authors
5
Name
Order
Citations
PageRank
C. Guo1106.97
Chun Guo212.04
Yaobin Shen301.35
Lei Wang418917.55
Dawu Gu5644103.50