Title
New rank codes based encryption scheme using partial circulant matrices.
Abstract
We propose a new rank metric code based encryption based on the hard problem of rank syndrome decoding problem. We consider a generator matrix for Gabidulin codes in the form of k-partial circulant matrix. We distort the matrix G by adding it with another random k-partial circulant matrix and multiplying the product with a random circulant matrix. We also convert our encryption into an IND-CCA2 secured encryption scheme under assumption of Rank Syndrome Decoding problem. Our encryption has the smallest key size (of 4.306 KB) at 256-bit security level as compared to all the other rank code based encryption schemes with zero decryption failure and hidden structure for the decodable codes.
Year
DOI
Venue
2019
10.1007/s10623-019-00659-0
Designs, Codes and Cryptography
Keywords
Field
DocType
Code-based cryptography, McEliece, Public-key encryption, Provable security, 94B05, 94A60
Discrete mathematics,Generator matrix,Matrix (mathematics),Encryption,Circulant matrix,Decoding methods,McEliece cryptosystem,Key size,Mathematics,Provable security
Journal
Volume
Issue
ISSN
87
12
0925-1022
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Terry Shue Chien Lau113.73
Chik How Tan249954.60