Podrobná bibliografia
| Názov: |
LIGA: a cryptosystem based on the hardness of rank-metric list and interleaved decoding. |
| Autori: |
Renner, Julian, Puchinger, Sven, Wachter-Zeh, Antonia |
| Zdroj: |
Designs, Codes & Cryptography; Jun2021, Vol. 89 Issue 6, p1279-1319, 41p |
| Predmety: |
RSA algorithm, HARDNESS, CRYPTOSYSTEMS, DECODING algorithms, ALGORITHMS |
| Korporácia: |
NATIONAL Institute of Standards & Technology (U.S.) |
| Abstrakt: |
We propose the new rank-metric code-based cryptosystem LIGA which is based on the hardness of list decoding and interleaved decoding of Gabidulin codes. LIGA is an improved variant of the Faure–Loidreau (FL) system, which was broken in a structural attack by Gaborit, Otmani, and Talé Kalachi (GOT, 2018). We keep the FL encryption and decryption algorithms, but modify the insecure key generation algorithm. Our crucial observation is that the GOT attack is equivalent to decoding an interleaved Gabidulin code. The new key generation algorithm constructs public keys for which all polynomial-time interleaved decoders fail—hence LIGA resists the GOT attack. We also prove that the public-key encryption version of LIGA is IND-CPA secure in the standard model and the key encapsulation mechanisms version is IND-CCA2 secure in the random oracle model, both under hardness assumptions of formally defined problems related to list decoding and interleaved decoding of Gabidulin codes. We propose and analyze various exponential-time attacks on these problems, calculate their work factors, and compare the resulting parameters to NIST proposals. The strengths of LIGA are short ciphertext sizes and (relatively) small key sizes. Further, LIGA guarantees correct decryption and has no decryption failure rate. It is not based on hiding the structure of a code. Since there are efficient and constant-time algorithms for encoding and decoding Gabidulin codes, timing attacks on the encryption and decryption algorithms can be easily prevented. [ABSTRACT FROM AUTHOR] |
|
Copyright of Designs, Codes & Cryptography is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Databáza: |
Complementary Index |
Full Text Finder 
Nájsť tento článok vo Web of Science