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kim k practical post quantum signatures falcon solmae python 2025

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Textbook in PDF format 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. The goal of modern cryptography is to secure information transmission, storage, and processing through the Internet or other channels, protecting against illegal eavesdropping, tampering, and forgery by unauthorized and malicious third parties. This cryptography involves an encryption process that takes plaintext and a key as inputs, and a decryption process that takes the ciphertext and a key as inputs to produce a decrypted message identical to the original plaintext. If the same key is used for both processes, it is called secret key or symmetric key cryptography. If different keys are used, one of which is made public, the other kept in private (or secret), it is called public key or asymmetric key cryptography. 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 Introduction Notations and Definition FALCON Algorithm SOLMAE Algorithm Basics of Python Checking FALCON with Python Checking SOLMAE with Python Concluding Remarks

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Kim K. Practical Post-Quantum Signatures. FALCON and SOLMAE with Python 2025.pdf 4.7 MB

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kim k practical post quantum signatures falcon solmae python 2025

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