Computational hardness assumption and Quadratic residue

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Difference between Computational hardness assumption and Quadratic residue

Computational hardness assumption vs. Quadratic residue

In computational complexity theory, a computational hardness assumption is the hypothesis that a particular problem cannot be solved efficiently (where efficiently typically means "in polynomial time"). In number theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer x such that: Otherwise, q is called a quadratic nonresidue modulo n. Originally an abstract mathematical concept from the branch of number theory known as modular arithmetic, quadratic residues are now used in applications ranging from acoustical engineering to cryptography and the factoring of large numbers.

Similarities between Computational hardness assumption and Quadratic residue

Computational hardness assumption and Quadratic residue have 6 things in common (in Unionpedia): Cryptography, Goldwasser–Micali cryptosystem, Group (mathematics), Parameterized complexity, Quadratic residuosity problem, Rabin cryptosystem.

Cryptography

Cryptography or cryptology (from κρυπτός|translit.

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Goldwasser–Micali cryptosystem

The Goldwasser–Micali (GM) cryptosystem is an asymmetric key encryption algorithm developed by Shafi Goldwasser and Silvio Micali in 1982.

Computational hardness assumption and Goldwasser–Micali cryptosystem · Goldwasser–Micali cryptosystem and Quadratic residue · See more »

Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Parameterized complexity

In computer science, parameterized complexity is a branch of computational complexity theory that focuses on classifying computational problems according to their inherent difficulty with respect to multiple parameters of the input or output.

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Quadratic residuosity problem

The quadratic residuosity problem in computational number theory is to decide, given integers a and N, whether a is a quadratic residue modulo N or not.

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Rabin cryptosystem

The Rabin cryptosystem is an asymmetric cryptographic technique, whose security, like that of RSA, is related to the difficulty of factorization.

Computational hardness assumption and Rabin cryptosystem · Quadratic residue and Rabin cryptosystem · See more »

The list above answers the following questions

What Computational hardness assumption and Quadratic residue have in common
What are the similarities between Computational hardness assumption and Quadratic residue

Computational hardness assumption and Quadratic residue Comparison

Computational hardness assumption has 73 relations, while Quadratic residue has 89. As they have in common 6, the Jaccard index is 3.70% = 6 / (73 + 89).

References

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