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Knapsack cryptosystems

Index Knapsack cryptosystems

Knapsack cryptosystems are cryptosystems whose security is based on the hardness of solving the knapsack problem. [1]

Table of Contents

  1. 12 relations: Adi Shamir, Cryptosystem, Discrete logarithm, Elliptic Curve Digital Signature Algorithm, Integer factorization, Knapsack problem, Merkle–Hellman knapsack cryptosystem, Post-quantum cryptography, Public-key cryptography, RSA (cryptosystem), Shor's algorithm, Time complexity.

Adi Shamir

Adi Shamir (עדי שמיר; born July 6, 1952) is an Israeli cryptographer and inventor.

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Cryptosystem

In cryptography, a cryptosystem is a suite of cryptographic algorithms needed to implement a particular security service, such as confidentiality (encryption). Knapsack cryptosystems and cryptosystem are cryptography and cryptography stubs.

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Discrete logarithm

In mathematics, for given real numbers a and b, the logarithm logb a is a number x such that. Knapsack cryptosystems and Discrete logarithm are cryptography.

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Elliptic Curve Digital Signature Algorithm

In cryptography, the Elliptic Curve Digital Signature Algorithm (ECDSA) offers a variant of the Digital Signature Algorithm (DSA) which uses elliptic-curve cryptography.

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Integer factorization

In number theory, integer factorization is the decomposition of a positive integer into a product of integers.

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Knapsack problem

The knapsack problem is the following problem in combinatorial optimization: It derives its name from the problem faced by someone who is constrained by a fixed-size knapsack and must fill it with the most valuable items. Knapsack cryptosystems and knapsack problem are cryptography.

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Merkle–Hellman knapsack cryptosystem

The Merkle–Hellman knapsack cryptosystem was one of the earliest public key cryptosystems.

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Post-quantum cryptography

Post-quantum cryptography (PQC), sometimes referred to as quantum-proof, quantum-safe, or quantum-resistant, is the development of cryptographic algorithms (usually public-key algorithms) that are thought to be secure against a cryptanalytic attack by a quantum computer.

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Public-key cryptography

Public-key cryptography, or asymmetric cryptography, is the field of cryptographic systems that use pairs of related keys. Knapsack cryptosystems and Public-key cryptography are cryptography.

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RSA (cryptosystem)

RSA (Rivest–Shamir–Adleman) is a public-key cryptosystem, one of the oldest widely used for secure data transmission.

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Shor's algorithm

Shor's algorithm is a quantum algorithm for finding the prime factors of an integer.

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Time complexity

In theoretical computer science, the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm.

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References

[1] https://en.wikipedia.org/wiki/Knapsack_cryptosystems

Also known as Knapsack cryptosystem.