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Accelerating Okamoto-Uchiyama public-key cryptosystem

Accelerating Okamoto-Uchiyama public-key cryptosystem

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Published

In Eurocrypt'98, Okamoto and Uchiyama presented a public-key cryptosystem as secure as factoring n = p2q; in terms of decryption complexity, the scheme is basically equivalent to RSA and requires O(log3n) bit operations. The authors point out a slight morphological modification in the scheme's structure that lowers the decryption complexity to O(log2n) while preserving equivalence to factoring.

Inspec keywords: public key cryptography; computational complexity

Other keywords: morphological modification; public-key cryptosystem; Okamoto-Uchiyama cryptosystem; decryption complexity

Subjects: Cryptography; Cryptography theory; Computational complexity

References

    1. 1)
      • Paillier, P.: `A trapdoor permutation equivalent to factoring', LNCS, Proc. PKC'99, 1999, Springer-Verlag.
    2. 2)
      • Okamoto, T., Uchiyama, S.: `A new public-key cryptosystem as secure as factoring', LNCS 1403, Advances in Cryptology, Proc. Eurocrypt'98, 1998, Springer-Verlag, p. 308–318.
    3. 3)
      • E. Okamoto , R. Peralta . Faster factoring of integers of a special form. IEICE Trans. Fundamentals , 4 , 489 - 493
http://iet.metastore.ingenta.com/content/journals/10.1049/el_19990229
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