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RSA cryptosystem

The RSA (Rivest–Shamir–Adleman) cryptosystem is a family of public-key cryptosystems (one of the oldest), widely used for secure data transmission. The initialism "RSA" comes from the surnames of Ron Rivest, Adi Shamir and Leonard Adleman, who publicly described the algorithm in 1977. An equivalent system was developed secretly in 1973 at Government…

History, Operation & Security and practical considerations

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Certification
PKCS#1, ANSI X9.31
Designers
Ron Rivest, Adi Shamir, and Leonard Adleman
First published
1977
Key sizes
variable but typically 2,048 to 4,096 bits
Rounds
1

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Overview

History

Patent

Operation

Proofs of correctness

Padding

Security and practical considerations

Implementations

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RSA cryptosystem

Nodes141
Edges140
Triples21
Avg. degree1.99
Density0.014184
Components1

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RSA cryptosystem

Top relations

related to Integer factorization and the RSA problem · 9
RSA cryptosystem → Currently, Full, No, Providing, RSA, The, The RSA, To, With
Certification · 1
RSA cryptosystem → PKCS#1, ANSI X9.31
Designers · 1
RSA cryptosystem → Ron Rivest, Adi Shamir, and Leonard Adleman
First published · 1
RSA cryptosystem → 1977
Key sizes · 1
RSA cryptosystem → variable but typically 2,048 to 4,096 bits
Rounds · 1
RSA cryptosystem → 1

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Important terminology

key rsa mod used public padding private algorithm using displaystyle prime encryption number attack large message numbers patent keys two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
RSA cryptosystemCertificationPKCS#1, ANSI X9.311.00infobox
RSA cryptosystemDesignersRon Rivest, Adi Shamir, and Leonard Adleman1.00infobox
RSA cryptosystemFirst published19771.00infobox
RSA cryptosystemKey sizesvariable but typically 2,048 to 4,096 bits1.00infobox
RSA cryptosystemRounds11.00infobox
RSASSA-PSS or RSA-FDHinstance ofThat system was declassified in 1997.RSA is used in digital signature0.80text
public-key encryption of very short messagesinstance ofThat system was declassified in 1997.RSA is used in digital signature0.80text
FIPS 186-4instance ofbut some standards0.80text
PKCSinstance ofwill encrypt to one of a large number of different possible ciphertexts.Standards0.80text
RSA-PSS are as essential for the security of message signing as they are for message encryptioninstance ofSecure padding schemes0.80text
Optimal Asymmetric Encryption Paddinginstance ofcryptographers now recommend the use of provably secure padding schemes0.80text
and RSA Laboratories has released new versions of PKCSinstance ofcryptographers now recommend the use of provably secure padding schemes0.80text

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