Title
Lower Bounds for Key Length of k-wise Almost Independent Permutations and Certain Symmetric-Key Encryption Schemes.
Abstract
The k-wise almost independent permutations are one of important primitives for cryptographic schemes and combinatorial constructions. Kaplan, Naor, and Reingold showed a general construction for k-wise almost independent permutations, and Kawachi, Takebe, and Tanaka provided symmetric-key encryption schemes that achieve multi-message approximate secrecy and multi-ciphertext approximate non-malleability based on Kaplan et al.' s construction. In this paper, we show lower bounds of key length for these constructions. In particular, they are nearly optimal for k-wise almost independent permutations and multi-message approximate secrecy if the approximation parameter is a constant.
Year
DOI
Venue
2016
10.1007/978-3-319-44524-3_12
ADVANCES IN INFORMATION AND COMPUTER SECURITY, IWSEC 2016
Keywords
Field
DocType
k-wise almost independent permutations,Symmetric-key encryption schemes,Approximate secrecy,Non-malleability
Symmetric-key algorithm,Discrete mathematics,Computer security,Computer science,Cryptography,Secrecy,Permutation,Encryption,Probabilistic encryption,Key size,Distributed computing
Conference
Volume
ISSN
Citations 
9836
0302-9743
0
PageRank 
References 
Authors
0.34
8
3
Name
Order
Citations
PageRank
Akinori Kawachi118520.66
Hirotoshi Takebe200.34
Keisuke Tanaka35412.51