Latest posts
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Supersingular Isogeny-Based Cryptography
Supersingular isogeny-based cryptography is a branch of post-quantum cryptography that utilizes the mathematical structure of supersingular elliptic curves and their isogenies (morphisms between elliptic curves that preserve the group structure) to create cryptographic primitives. This approach is particularly attractive in the context of quantum computing, where traditional cryptographic algorithms (like RSA and ECC) are vulnerable…
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Quantum Key Distribution (QKD)
Quantum Key Distribution (QKD) is a method used to securely share cryptographic keys between two parties, known as Alice and Bob, by leveraging the principles of quantum mechanics. The primary advantage of QKD over classical key distribution methods is that it offers provable security, even against adversaries equipped with unlimited computational power. Key Principles of…
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Hash-based signatures
Hash-based signatures are a type of digital signature scheme that relies on the security of hash functions rather than on number-theoretic problems like factorization or the discrete logarithm problem. They are particularly notable in the context of post-quantum cryptography, as they are believed to be secure against attacks from quantum computers. Below is a detailed…
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Multivariate cryptography
Multivariate cryptography is a field of cryptography that uses multivariate polynomial equations over finite fields to create cryptographic primitives like encryption schemes, digital signatures, and key exchange protocols. It stands out in post-quantum cryptography since the underlying hard problems are believed to be difficult even for quantum computers to solve. Key Concepts Key Schemes Here are…
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Code-based cryptography
Code-based cryptography is a branch of cryptographic techniques that relies on the principles of coding theory, particularly error-correcting codes, for secure communication. It is considered a promising candidate for post-quantum cryptography because its security does not rely on number-theoretic problems, making it resistant to potential quantum computing attacks. Below are key concepts, schemes, and applications…
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Lattice-based cryptography
Lattice-based cryptography is a form of public key cryptography that is based on the mathematical structure of lattices. Lattices are geometric arrangements of points in space, and they provide a rich framework for constructing cryptographic primitives that are believed to be secure against attacks from quantum computers. Key Features of Lattice-Based Cryptography Key Lattice-Based Cryptographic…
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Key Lattice-Based Cryptographic Schemes
Here’s an in-depth look at some key lattice-based cryptographic schemes: 1. NTRU (Nth-degree TRinomial-based cryptosystem) Description: NTRU is an encryption scheme designed by Jean-Jacques Quisquater and his team. It’s a public-key encryption system that relies on polynomial multiplication modulo an irreducible polynomial in a specific domain. Key Generation: Encryption: Decryption: The decryption process involves computing…
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Post-Quantum Cryptographic Techniques
Post-quantum cryptography refers to cryptographic algorithms believed to be secure against the potential capabilities of quantum computers. As quantum computing advances, algorithms like Shor’s and Grover’s algorithms threaten the security of classical cryptographic protocols based on integer factorization and discrete logarithms. Post-quantum cryptographic techniques are designed to withstand such quantum attacks while providing the same…
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Lattice-based cryptography
Lattice-based cryptography is a form of public key cryptography that is based on the mathematical structure of lattices. Lattices are geometric arrangements of points in space, and they provide a rich framework for constructing cryptographic primitives that are believed to be secure against attacks from quantum computers. Key Features of Lattice-Based Cryptography Key Lattice-Based Cryptographic…
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Cryptographic systems
Cryptographic systems are frameworks that use mathematical techniques to secure information and communications from adversaries. They ensure confidentiality, integrity, authentication, and non-repudiation of data. Below are the primary categories of cryptographic systems, their components, and some popular algorithms used in each category. 1. Symmetric Key Cryptography Symmetric key cryptography, also known as secret key cryptography,…