A cubic RSA code equivalent to factorization

J. H. Loxton; David S P Khoo; Gregory J. Bird; Jennifer Seberry

doi:10.1007/BF00193566

A cubic RSA code equivalent to factorization

J. H. Loxton^*, David S P Khoo, Gregory J. Bird, Jennifer Seberry

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

The RSA public-key encryption system of Rivest, Shamir, and Adelman can be broken if the modulus, R say, can be factorized. However, it is still not known if this system can be broken without factorizing R. A version of the RSA scheme is presented with encryption exponent e ≡ 3 (mod 6). For this modified version, the equivalence of decryption and factorization of R can be demonstrated.

Original language	English
Pages (from-to)	139-150
Number of pages	12
Journal	Journal of Cryptology
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/BF00193566
Publication status	Published - Jan 1992

Keywords

Cubic residues
Eisenstein integers
Encryption
Factorization
Public-key
RSA

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10.1007/BF00193566

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title = "A cubic RSA code equivalent to factorization",

abstract = "The RSA public-key encryption system of Rivest, Shamir, and Adelman can be broken if the modulus, R say, can be factorized. However, it is still not known if this system can be broken without factorizing R. A version of the RSA scheme is presented with encryption exponent e ≡ 3 (mod 6). For this modified version, the equivalence of decryption and factorization of R can be demonstrated.",

keywords = "Cubic residues, Eisenstein integers, Encryption, Factorization, Public-key, RSA",

author = "Loxton, \{J. H.\} and Khoo, \{David S P\} and Bird, \{Gregory J.\} and Jennifer Seberry",

year = "1992",

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N2 - The RSA public-key encryption system of Rivest, Shamir, and Adelman can be broken if the modulus, R say, can be factorized. However, it is still not known if this system can be broken without factorizing R. A version of the RSA scheme is presented with encryption exponent e ≡ 3 (mod 6). For this modified version, the equivalence of decryption and factorization of R can be demonstrated.

AB - The RSA public-key encryption system of Rivest, Shamir, and Adelman can be broken if the modulus, R say, can be factorized. However, it is still not known if this system can be broken without factorizing R. A version of the RSA scheme is presented with encryption exponent e ≡ 3 (mod 6). For this modified version, the equivalence of decryption and factorization of R can be demonstrated.

KW - Cubic residues

KW - Eisenstein integers

KW - Encryption

KW - Factorization

KW - Public-key

KW - RSA

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DO - 10.1007/BF00193566

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VL - 5

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EP - 150

JO - Journal of Cryptology

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IS - 2

ER -

A cubic RSA code equivalent to factorization

Abstract

Keywords

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