A survey on exotic signatures for post-quantum blockchain: Challenges and research directions
Blockchain technology provides efficient and secure solutions to various online activities by
utilizing a wide range of cryptographic tools. In this article, we survey the existing literature …
utilizing a wide range of cryptographic tools. In this article, we survey the existing literature …
SQISign: compact post-quantum signatures from quaternions and isogenies
We introduce a new signature scheme, SQISign,(for Short Quaternion and Isogeny
Signature) from isogeny graphs of supersingular elliptic curves. The signature scheme is …
Signature) from isogeny graphs of supersingular elliptic curves. The signature scheme is …
CSI-FiSh: efficient isogeny based signatures through class group computations
W Beullens, T Kleinjung, F Vercauteren - … on the theory and application of …, 2019 - Springer
In this paper we report on a new record class group computation of an imaginary quadratic
field having 154-digit discriminant, surpassing the previous record of 130 digits. This class …
field having 154-digit discriminant, surpassing the previous record of 130 digits. This class …
M-SIDH and MD-SIDH: countering SIDH attacks by masking information
The SIDH protocol is an isogeny-based key exchange protocol using supersingular
isogenies, designed by Jao and De Feo in 2011. The protocol underlies the SIKE algorithm …
isogenies, designed by Jao and De Feo in 2011. The protocol underlies the SIKE algorithm …
SCALLOP: scaling the CSI-FiSh
We present SCALLOP: SCALable isogeny action based on Oriented supersingular curves
with Prime conductor, a new group action based on isogenies of supersingular curves …
with Prime conductor, a new group action based on isogenies of supersingular curves …
Cryptographic group actions and applications
N Alamati, L De Feo, H Montgomery… - Advances in Cryptology …, 2020 - Springer
Isogeny-based assumptions have emerged as a viable option for quantum-secure
cryptography. Recent works have shown how to build efficient (public-key) primitives from …
cryptography. Recent works have shown how to build efficient (public-key) primitives from …
Supersingular curves you can trust
Generating a supersingular elliptic curve such that nobody knows its endomorphism ring is a
notoriously hard task, despite several isogeny-based protocols relying on such an object. A …
notoriously hard task, despite several isogeny-based protocols relying on such an object. A …
A faster software implementation of SQISign
K Lin, W Wang, Z Xu, CA Zhao - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Isogeny-based cryptography is famous for its short key size. As one of the most compact
digital signatures, SQIsign (Short Quaternion and Isogeny Signature) is attractive among …
digital signatures, SQIsign (Short Quaternion and Isogeny Signature) is attractive among …
He gives C-sieves on the CSIDH
C Peikert - Annual international conference on the theory and …, 2020 - Springer
Abstract Recently, Castryck, Lange, Martindale, Panny, and Renes proposed CSIDH
(pronounced “sea-side”) as a candidate post-quantum “commutative group action.” It has …
(pronounced “sea-side”) as a candidate post-quantum “commutative group action.” It has …
Verifiable delay functions from supersingular isogenies and pairings
We present two new Verifiable Delay Functions (VDF) based on assumptions from elliptic
curve cryptography. We discuss both the advantages and drawbacks of our constructions …
curve cryptography. We discuss both the advantages and drawbacks of our constructions …