Title
Fast And Secure Key Generation For Low Rank Parity Check Codes Cryptosystems
Abstract
Among the candidates for NIST's post-quantum cryptography standardization project, cryptosystems that rely on Low Rank Parity Check (LRPC) codes have interesting properties, such as a low public key size. However, the key generation phase for these cryptosystems is computationally expensive when done in constant-time, which is a security requirement on the standardization project, making it almost unusable for ephemeral key generation. We present a new constant-time algorithm for key generation on LRPC code-based cryptosystems, that divides the computational costs by four when compared to previous work over ROLLO, one of the NIST candidates. Our improvement consists in changing the way objects of a quotient ring are represented. By switching from a canonical basis to an optimal normal basis, we enable the full potential of the Itoh-Tsuiji algorithm for field inversion.
Year
DOI
Venue
2021
10.1109/ISIT45174.2021.9518250
2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Carlos Aguilar Melchor126620.27
Nicolas Aragon252.82
Victor Dyseryn300.34
Philippe Gaborit470056.29