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 …

SQIsign2D-East: A new signature scheme using 2-dimensional isogenies

K Nakagawa, H Onuki, W Castryck, M Chen… - … Conference on the …, 2024 - Springer
Isogeny-based cryptography is cryptographic schemes whose security is based on the
hardness of a mathematical problem called the isogeny problem, and is attracting attention …

QFESTA: Efficient algorithms and parameters for FESTA using quaternion algebras

K Nakagawa, H Onuki - Annual International Cryptology Conference, 2024 - Springer
Abstract In 2023, Basso, Maino, and Pope proposed FESTA (Fast Encryption from
Supersingular Torsion Attacks), an isogeny-based public-key encryption (PKE) protocol that …

On linear equivalence, canonical forms, and digital signatures

T Chou, E Persichetti, P Santini - Cryptology ePrint Archive, 2023 - eprint.iacr.org
Given two linear codes, the code equivalence problem asks to find an isometry mapping one
code into the other. The problem can be described in terms of group actions and, as such …

Optimized One-Dimensional SQIsign Verification on Intel and Cortex-M4

MA Aardal, G Adj, A Alblooshi, DF Aranha… - IACR Transactions on …, 2025 - tosc.iacr.org
SQIsign is a well-known post-quantum signature scheme due to its small combined
signature and public-key size. However, SQIsign suffers from notably long signing times …

Finding Practical Parameters for Isogeny-based Cryptography

MCR Santos, JK Eriksen, M Meyer… - Cryptology ePrint …, 2024 - eprint.iacr.org
Isogeny-based schemes often come with special requirements on the field of definition of the
involved elliptic curves. For instance, the efficiency of SQIsign, a promising candidate in the …

[HTML][HTML] Paving the Way for SQIsign: Toward Efficient Deployment on 32-bit Embedded Devices

Y Hu, S Shen, H Yang, W Wang - Mathematics, 2024 - mdpi.com
The threat of quantum computing has spurred research into post-quantum cryptography.
SQIsign, a candidate submitted to the standardization process of the National Institute of …

-signHD: A New Structure for the SQIsign Family with Flexible Applicability

K Lin, W Wang, CA Zhao, Y Zhao - Cryptology ePrint Archive, 2024 - eprint.iacr.org
Digital signature is a fundamental cryptographic primitive and is widely used in the real
world. Unfortunately, the current digital signature standards like EC-DSA and RSA are not …

Towards Optimally Small Smoothness Bounds for Cryptographic-Sized Twin Smooth Integers and their Isogeny-based Applications

B Sterner - Cryptology ePrint Archive, 2023 - eprint.iacr.org
We give a new approach for finding large smooth twins. Those twins whose sum is a prime
are of interest in the parameter setup of certain isogeny-based cryptosystems such as …

The design, concrete security and efficiency of isogeny-based cryptography

M Corte-Real Santos - 2024 - discovery.ucl.ac.uk
The security of most public-key cryptosystems that are currently deployed rely on the
hardness of the discrete logarithm problem or of the integer factorisation problem. In 1994 …