Dear all,
The PERK team is working on improvements for PERK based on a new modeling for PKP along with recent improvements in MPCitH related proof systems. A note explaining what can be expected from PERK should it advance to Round 2 can be found on our website:
https://pqc-perk.org/assets/downloads/perk-improvement.pdf
In a nutshell, PERK signature size can be halved and can go down as low as 3.0 kB for NIST-1 security level while the security assumption is improved and the performances are expected to be better or similar to the performances of the the initial submission.
Best regards,
PERK Team