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Modular exponentiation

Modular exponentiation is exponentiation performed over a modulus. It is useful in computer science, especially in the field of public-key cryptography, where it is used in both Diffie–Hellman key exchange and RSA public/private keys.

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Overview

Direct method

Memory-efficient method

Right-to-left binary method

Left-to-right binary method

Generalizations

Software implementations

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Map overview Semantic statistics

Modular exponentiation

Nodes51
Edges50
Triples45
Avg. degree1.96
Density0.039216
Components1

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Modular exponentiation

Top relations

related to External links · 19
Modular exponentiation → Algorithms, AppletGordon, Applied Cryptography, Bruce, Daniel, Elsevier BV, Fast Exponentiation Methods, Fast Modular Exponentiation Java, ISBN, ISSN, Journal, Paul Garrett, PDF, Protocols, Schneier, Second Edition, Source Code, Survey, Wiley
related to Software implementations · 18
Modular exponentiation → BC Math, Because, BigIntegerclass, BigIntmodule, BN, FileMaker Pro, Function, GMP, GNU Multiple Precision Arithmetic, Go'sbig, Inttype, Library, NET Framework'sBigIntegerclass, PowerMod, Python's, RSA, Ruby'sopensslpackage, Symbolic Math ToolboxWolfram Language
related to Reversible and quantum modular exponentiation · 3
Modular exponentiation → Furthermore, In, Shor's
related to Right-to-left binary method · 3
Modular exponentiation → First, It, That
is a · 2
Modular exponentiation → important operation in computer science, remainder c when an integer b

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Important terminology

exponentiation modular exponent method mod modulus algorithm example binary 13 value result base modulo algorithms one remainder multiplications time previous

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Modular exponentiationis aremainder c when an integer b0.90text
Modular exponentiationis aimportant operation in computer science0.90text
Modular exponentiationrelated to External linksSchneier0.60section
Modular exponentiationrelated to External linksBruce0.60section
Modular exponentiationrelated to External linksApplied Cryptography0.60section
Modular exponentiationrelated to External linksProtocols0.60section
Modular exponentiationrelated to External linksAlgorithms0.60section
Modular exponentiationrelated to External linksSource Code0.60section
Modular exponentiationrelated to External linksSecond Edition0.60section
Modular exponentiationrelated to External linksWiley0.60section
Modular exponentiationrelated to External linksISBN0.60section
Modular exponentiationrelated to External linksPaul Garrett0.60section

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