Parallel computation of the generating keys for RSA cryptosystems

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Parallel computation of the generating keys for RSA cryptosystems

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The authors present a parallel implementation for generating RSA keys without using the Euclidean algorithm. Their method is based on a unique factorisation theorem, which combines with Derôme's method and allows the generation of RSA keys without using the Euclidean algorithm.

Inspec keywords: number theory; public key cryptography

Other keywords: RSA cryptosystems; parallel implementation; factorisation theorem; Derome's method; generating keys

Subjects: Combinatorial mathematics; Combinatorial mathematics; Data security; Codes

References

    1. 1)
      • D.E. Knuth . (1981) The art of computer programming Vol. 2. Seminumberical algorithms.
    2. 2)
      • M.F.A. Derôme . Generating RSA keys without the Euclid algorithm. Electron. Lett. , 1 , 19 - 21
    3. 3)
      • R.L. Rivest , A. Shamir , L. Adleman . A method for obtaining digital signatures and public key cryptosystems. Comm. ACM , 2 , 120 - 126
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