Efficient key recovery attack on Supersingular Isogeny Diffie-Hellman (SIDH) protocol. It explores the vulnerability of the protocol and proposes a concrete solution. The attack leverages auxiliary points to solve the isogeny problem and reveals instances of the common secret key.

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Public key cryptography, exemplified by algorithms like Diffie-Hellman and RSA, revolutionizes secure communication by allowing users to encrypt messages with public keys known to all and decrypt them with private keys known only to the intended recipient. This advanced encryption method ensures sec

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Exploring Diffie-Hellman assumptions and problems including Computational Diffie-Hellman (CDH) and Decisional Diffie-Hellman (DDH). Discusses the difficulty of solving the DDH problem compared to CDH and discrete logarithm assumptions. Covers examples and implications of these cryptographic challeng

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The Diffie-Hellman key exchange algorithm, a pioneering public-key cryptography method introduced by Diffie and Hellman in 1976, enables secure key exchange between two users to facilitate subsequent message encryption. The algorithm relies on the complexity of computing discrete logarithms and invo

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Public-Key Cryptography revolutionized secure communication by introducing the concept of using separate keys for encryption and decryption. Initially explored by researchers like Diffie, Hellman, and Merkle in the 70s, it addressed key distribution challenges faced by symmetric cryptography. This m

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The Merkle-Hellman knapsack cryptosystem is a cryptographic system that was initially proposed by Merkle, and later iterated versions were both broken by Shamir and Brickell in the early 1980s and 1985, respectively. This system is related to the classical knapsack problem, subset-sum problem, and e

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This lecture delves into the realm of public-key cryptography, including the Knapsack one-way function and the Merkle-Hellman Crypto System. It explores historical perspectives, the concepts of OWFs, Elliptic Curve Cryptography, and introduces new algebra using additive groups over Elliptic Curves.

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This detailed content provides insights into the secure connections in STM32WB BLE devices, covering aspects such as BLE security methods, encryption techniques, pairing processes, key distribution, and security modes and levels. It emphasizes the use of Long Term Keys (LTK), Diffie-Hellman key exch

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Key exchange protocols play a crucial role in ensuring secure communication. This content explores the challenges faced in designing robust key exchange mechanisms, from vulnerabilities in existing protocols like Diffie-Hellman to the complexity of implementing authentication. Despite decades of res

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Quantum computing utilizes the principles of quantum mechanics to process information exponentially faster than classical computers. This advancement poses a significant threat to current cryptographic systems, especially those reliant on factors like RSA and Diffie-Hellman key exchange. If large-sc

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Explore the challenges of key management, the use of trusted third parties in generating shared keys, the limitations of toy protocols in secure key exchange, and the evolution of public-key cryptography techniques like Merkle Puzzles, Diffie-Hellman, and RSA. Learn how to achieve secure key exchang

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Delve into the concepts of cryptography, data hiding, and secure communication methods such as Diffie-Hellman key exchange. Discover how Bob safely sends a ring to Alice, the use of Caesar cipher method, and the importance of mathematical principles in ensuring secure communication protocols. Learn

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This content delves into the world of cryptographic protocols, discussing the importance of security measures such as symmetric cryptography, hash functions, and public-key cryptography. It explores the field's various studies, goals, Diffie-Hellman key exchange, and the significance of key size in

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This content provides insights into public key encryption schemes such as Diffie-Hellman and ElGamal, as presented by cryptography expert Dan Boneh. Topics covered include key exchange, secure email, encryption applications, constructions, and a review of the Diffie-Hellman protocol. The material de

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