Far Eastern Mathematical Journal

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A new method for generating keys in the RSA cryptosystem


Markova N.V.

2020, issue 2, P. 221–223
DOI: https://doi.org/10.47910/FEMJ202021


Abstract
V.A. Bykovsky built a new version of the RSA cryptosystem, in which for the same private key lengths the length of the public key decreases asymptotically by a factor of three. The paper proposes a new construction on this theme, in which the length of the public key is reduced by more than three times.

Keywords:
Number theory, cryptography, RSA cryptosystem

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References

[1] R.L. Rivest, A. Shamir, L. Adleman, “Method for Obtaining Digital Signatures and Public Key Cryptosystems”, Commun. ACM, 21:2, (1978), 120–126.
[2] O. N. Vasilenko, Teoretiko-chislovye algoritmy v kriptografii, MTsNMO, M., 2003, 328 s.
[3] V. A. Bykovskii., Vychislenie sluchainykh par prostykh chisel, proizvedenie kotorykh lezhit v zadannom korotkom intervale, Preprint IPM DVO RAN, Dal'nauka, Vladivostok, Khabarovsk, 1994, 7 s.

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