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arXiv · 2504.17919

Secured Encryption scheme based on the Ree groups

Gennady Khalimov·Yevgen Kotukh
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Abstract

An improved design of a cryptosystem based on small Ree groups is proposed. We have changed the encryption algorithm and propose to use a logarithmic signature for the entire Ree group. This approach improves security against sequential key recovery attacks. Hence, the complexity of the key recovery attack will be defined by a brute-force attack over the entire group. In this paper, we have proved that to construct secure cryptosystems with group computations over a small finite field, it is needed to use a 3-parametric small Ree group.

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Gennady Khalimov, Yevgen Kotukh. 2025-04-24. Secured Encryption scheme based on the Ree groups. https://arxiv.org/abs/2504.17919

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