Low Rank Parity Check Codes: New Decoding Algorithms and Applications to Cryptography
@article{Aragon2019LowRP, title={Low Rank Parity Check Codes: New Decoding Algorithms and Applications to Cryptography}, author={Nicolas Aragon and P. Gaborit and Adrien Hauteville and O. Ruatta and G. Z{\'e}mor}, journal={IEEE Transactions on Information Theory}, year={2019}, volume={65}, pages={7697-7717} }
We introduce a new family of rank metric codes: Low Rank Parity Check codes (LRPC), for which we propose an efficient probabilistic decoding algorithm. [...] Key Result To conclude, we propose different parameter sizes for our schemes and we obtain a public key of 3337 bits for key exchange and 5893 bits for public key encryption, both for 128 bits of security.Expand
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References
SHOWING 1-10 OF 150 REFERENCES
RankSign: An Efficient Signature Algorithm Based on the Rank Metric
- Computer Science, Mathematics
- PQCrypto
- 2013
- 33
- PDF
Security and complexity of the McEliece cryptosystem based on quasi-cyclic low-density parity-check codes
- Mathematics, Computer Science
- IET Inf. Secur.
- 2013
- 48
- PDF
New Technique for Decoding Codes in the Rank Metric and Its Cryptography Applications
- Mathematics, Computer Science
- Probl. Inf. Transm.
- 2002
- 80
New algorithms for decoding in the rank metric and an attack on the LRPC cryptosystem
- Computer Science, Mathematics
- 2015 IEEE International Symposium on Information Theory (ISIT)
- 2015
- 27
- PDF
Cryptanalysis of Two McEliece Cryptosystems Based on Quasi-Cyclic Codes
- Computer Science, Mathematics
- Math. Comput. Sci.
- 2010
- 113
- PDF
Constructions of Rank Modulation Codes
- Mathematics, Computer Science
- IEEE Transactions on Information Theory
- 2013
- 67
- PDF
The Cryptographic Security of the Syndrome Decoding Problem for Rank Distance Codes
- Mathematics, Computer Science
- ASIACRYPT
- 1996
- 59
Algebraic Cryptanalysis of McEliece Variants with Compact Keys
- Mathematics, Computer Science
- EUROCRYPT
- 2010
- 190
- PDF