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Random Number Generation in Cryptography

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Entropy

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A measure of the unpredictability or randomness collected by a system, essential for secure randomness in cryptographic applications.

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Pseudorandom Number Generator (PRNG)

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An algorithm for generating a sequence of numbers that approximates the properties of random numbers.

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Randomness Amplification

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The process of using algorithms and mathematical techniques to convert weakly random sources into highly random cryptographic keys or numbers.

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Random Bit Generation

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The generation of bits (0 or 1) with an equal probability of either outcome, used as the foundation of secure random number generation in cryptography.

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Nonce

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A random or pseudo-random number issued in a cryptographic communication to ensure that old communications cannot be reused in replay attacks.

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Backtracking Resistance

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A property of CSPRNGs ensuring that if the state of the generator at a certain point is compromised, past numbers generated are still secure.

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Seed Update

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The process of refreshing the seed value of a PRNG to maintain the unpredictability of its output sequence.

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LavaRand

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A random number generator that uses images of lava lamps to generate random numbers, exploiting natural chaotic processes for entropy.

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Randomness Testing

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A procedure to test sequences generated by random number generators to ensure they meet the requirements of randomness.

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Initial Seeding

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The process of feeding a starting value into a PRNG to begin the generation of pseudorandom sequences, with entropy contributing to seed quality.

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Random Walk

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A mathematical formalism used for modeling random processes, also found in cryptographic algorithms to ensure unpredictability.

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Cryptographic Hash Function

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A function that takes an input (or 'message') and returns a fixed-size string of bytes, designed to be a one-way function, which is computationally infeasible to invert.

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Kerckhoffs's Principle

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A principle stating that a cryptographic system should be secure even if everything about the system, except the key, is public knowledge, emphasizing the importance of key randomness.

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Diffusion

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A property of cryptographic algorithms where the output bits are spread out over the structure of the cipher to obscure the relationship with the input bits, achieved by employing randomness.

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Random Oracle Model

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A theoretical model used to analyze the security of cryptographic protocols, in which an idealized 'oracle' provides truly random responses.

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Hardware Random Number Generator

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A physical device or component that generates random numbers from physical processes, often used to increase the entropy of a system.

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Randomness in Cryptographic Protocols

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The use of random numbers or processes to secure cryptographic operations like key exchange, digital signatures, and nonces.

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Random Number Generator (RNG)

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A system that is used to generate a sequence of numbers or symbols that cannot be reasonably predicted better than by random chance.

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Randomness Beacon

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A publicly accessible source of randomness that generates random numbers at regular intervals, often used for cryptographic applications and systems requiring a high degree of trust.

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Randomness Entropy Source

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A source of unpredictable input used to seed random number generators in cryptographic systems.

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Random Seed

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An initial value used to initialize a pseudorandom number generator, critical for producing an unpredictable sequence of numbers.

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Forward Security

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A property of cryptographic algorithms which ensures that the compromise of one key will not lead to the compromise of keys from subsequent time periods.

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Cryptographically Secure Pseudorandom Number Generator (CSPRNG)

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A PRNG with properties that make it suitable for use in cryptography, including unpredictability and irreversibility.

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One-Time Pad

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A encryption technique that cannot be cracked if used correctly, but requires a random key the same length as the message being sent.

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Statistical Randomness

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A property of a sequence of values where no recognizable pattern or predictability is apparent, crucial for cryptographic security.

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Quantum Random Number Generator

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A device that generates random numbers by measuring quantum phenomena, such as the decay of radioactive atoms or photon paths.

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State Compromise Extensions

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Methods used to protect a PRNG's past or future outputs even if part of its internal state is revealed at some point.

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Randomness Extractor

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A function that converts a source of entropy, which may not be uniformly random, into a string of random bits with nearly uniform distribution.

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Key Generation

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The process of creating keys for use in a cryptographic algorithm, in which randomness plays a critical role to ensure key unpredictability and security.

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Mixing Functions

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Cryptographic functions that take an input state and produce an output state with increased entropy and diffusion, often used in RNG construction.

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