Title
Interleaving Loidreau’s Rank-Metric Cryptosystem
Abstract
We propose and analyze an interleaved variant of Loidreau's rank-metric cryptosystem based on rank multipliers. We analyze and adapt several attacks on the system, propose design rules, and study weak keys. Finding secure instances requires near-MRD rank-metric codes which are not investigated in the literature. Thus, we propose a random code construction that makes use of the fact that short random codes over large fields are MRD with high probability. We derive an upper bound on the decryption failure rate and give example parameters for potential key size reduction.
Year
DOI
Venue
2019
10.1109/REDUNDANCY48165.2019.9003318
2019 XVI International Symposium "Problems of Redundancy in Information and Control Systems" (REDUNDANCY)
Keywords
DocType
Volume
Code-Based Cryptography,Rank-Metric Codes,Gabidulin Codes,Interleaved Codes
Journal
abs/1901.10413
ISSN
ISBN
Citations 
2377-6781
978-1-7281-1945-8
0
PageRank 
References 
Authors
0.34
29
3
Name
Order
Citations
PageRank
Julian Renner132.44
Sven Puchinger22514.73
Antonia Wachter-Zeh312933.65