Citation
Md Said, Mohamad Rushdan and Loxton, John
(2003)
A cubic analogue of the RSA cryptosystem.
Bulletin of the Australian Mathematical Society, 68 (1).
pp. 21-38.
ISSN 0004-9727; eISSN: 0004-9727
Abstract
In this paper, we investigate a public key cryptosystem which is derived from a third order linear recurrence relation and is analogous to the RSA and LUC cryptosystems. The explicit formulation involves a generalisation of the rule for composition of powers and of the calculus of the Euler totient function which underlie the algebra of the RSA cryptosystem. The security of all these systems appears to be comparable and to depend on the intractability of factorisation but the systems do not seem to be mathematically equivalent.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1017/s0004972700037382 |
| Publisher: | Australian Mathematical Publishing Association |
| Keywords: | Public key cryptosystem; Rsa and luc cryptosystems; Cubic analogue |
| Depositing User: | Ms. Azian Edawati Zakaria |
| Date Deposited: | 19 Mar 2025 07:29 |
| Last Modified: | 19 Mar 2025 07:29 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1017/s0004972700037382 |
| URI: | http://psasir.upm.edu.my/id/eprint/116101 |
| Statistic Details: | View Download Statistic |
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