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Montgomery modular multiplication

In modular arithmetic computation, Montgomery modular multiplication, more commonly referred to as Montgomery multiplication, is a method for performing fast modular multiplication. It was introduced in 1985 by the American mathematician Peter L. Montgomery.

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Montgomery form

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Arithmetic in Montgomery form

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Montgomery arithmetic on multiprecision integers

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Modular arithmetic

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Modular arithmetic

Montgomery form

The REDC algorithm

Interpretation via the Chinese Remainder Theorem

  • CRT Chinese remainder theorem

Arithmetic in Montgomery form

Montgomery arithmetic on multiprecision integers

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Montgomery modular multiplication

Nodes39
Edges38
Triples2
Avg. degree1.95
Density0.051282
Components1

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Important terminology

montgomery mod form algorithm integer multiplication redc product division 17 modulo modular displaystyle residue requires reduction subtraction divisible 15 integers

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SubjectPredicateObjectConfidenceSrc
RSAinstance ofMany important cryptosystems0.80text
Diffieinstance ofMany important cryptosystems0.80text

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