Kwangjo Kim Kim Practical Post-Quantum Signatures

Practical Post-Quantum Signatures

von Kwangjo Kim

FALCON and SOLMAE with Python

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Beschreibung

The current digital signature methods like RSA, DSA, and ECDSA are relatively simple to understand, and their signing and verification processes operate in comparable time frames. However, in the quantum computing era, cryptographic methods must be designed to withstand both classical and quantum attacks. This requires an in-depth understanding of advanced mathematical concepts like algebraic geometry, lattice theory, Gaussian sampling, and efficient polynomial computation techniques such as FFT and NTT, which are essential for lattice-based cryptosystems.

The FALCON algorithm, chosen as a finalist in the NIST Post-Quantum Cryptography (PQC) standardization project, is a lattice-based, hash-and-sign digital signature scheme known for its efficiency and compactness compared to other quantum-resistant signatures like Dilithium and SPHINCS+. Following FALCON’s development, the SOLMAE algorithm was introduced in 2021, offering a simplified signing process within the same GPV framework and also implemented in Python for easier accessibility.

This monograph provides a practical and educational introduction to post-quantum digital signatures, focusing on the FALCON and SOLMAE algorithms. The material aims to bridge the gap between theory and practice, offering hands-on knowledge of post-quantum cryptographic techniques. With a focus on clear, practical examples using Python, this book is a valuable resource for anyone looking to understand or implement quantum-secure digital signatures.


The current digital signature methods like RSA, DSA, and ECDSA are relatively simple to understand, and their signing and verification processes operate in comparable time frames. However, in the quantum computing era, cryptographic methods must be designed to withstand both classical and quantum attacks. This requires an in-depth understanding of advanced mathematical concepts like algebraic geometry, lattice theory, Gaussian sampling, and efficient polynomial computation techniques such as FFT and NTT, which are essential for lattice-based cryptosystems.

The FALCON algorithm, chosen as a finalist in the NIST Post-Quantum Cryptography (PQC) standardization project, is a lattice-based, hash-and-sign digital signature scheme known for its efficiency and compactness compared to other quantum-resistant signatures like Dilithium and SPHINCS+. Following FALCON’s development, the SOLMAE algorithm was introduced in 2021, offering a simplified signing process within the same GPV framework and also implemented in Python for easier accessibility.

This monograph provides a practical and educational introduction to post-quantum digital signatures, focusing on the FALCON and SOLMAE algorithms. The material aims to bridge the gap between theory and practice, offering hands-on knowledge of post-quantum cryptographic techniques. With a focus on clear, practical examples using Python, this book is a valuable resource for anyone looking to understand or implement quantum-secure digital signatures.


Examines the rise in interest in post-quantum signatures Offers a comprehensive review of Falcon and SOLMAE Provides implementation exercises using the popular Python language

Autor*in

Kwangjo Kim

Themen in »Practical Post-Quantum Signatures«

Post-quantum signatures Falcon SOLMAE Lattice-based cryptography Gaussian sampling

Stimmen zu »Practical Post-Quantum Signatures«

Details

ISBN: 9783031812491
Verlag: Springer International Publishing
Erscheinung: 16.02.2025

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