Revisiting Meet-in-the-Middle Cryptanalysis of SIDH/SIKE with Application to the $IKEp182 Challenge
English
Udovenko, Aleksei[University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Cryptolux >]
Vitto, Giuseppe[University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > Cryptolux >]
2023
Selected Areas in Cryptography
Smith, Benjamin
Wu, Huapeng
Yes
International
Selected Areas in Cryptography (SAC 2022)
from 24-08-2022 to 26-08-2022
Windsor, Ontario
Canada
[en] Isogenies ; Cryptanalysis ; SIDH ; SIKE
[en] We report a break of the \$IKEp182 challenge using a meet-in-the-middle attack strategy improved with multiple SIKE-specific optimizations. The attack was executed on the HPC cluster of the University of Luxembourg and required less than 10 core-years and 256TiB of high-performance network storage (GPFS). Different trade-offs allow execution of the attack with similar time complexity and reduced storage requirements of only about 70TiB.