Secured Encryption scheme based on the Ree groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913807375269888 |
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| author | Khalimov, Gennady Kotukh, Yevgen |
| author_facet | Khalimov, Gennady Kotukh, Yevgen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17919 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Secured Encryption scheme based on the Ree groups Khalimov, Gennady Kotukh, Yevgen Cryptography and Security 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. |
| title | Secured Encryption scheme based on the Ree groups |
| topic | Cryptography and Security |
| url | https://arxiv.org/abs/2504.17919 |