Bibliographic Details
| Title: |
Expanded low-rank parity-check codes and their application to cryptography. |
| Authors: |
Franck Rivel, Kamwa Djomou, Emmanuel, Fouotsa, Calvin, Tadmon |
| Source: |
Cryptologia; Jul2024, Vol. 48 Issue 4, p323-351, 29p |
| Subject Terms: |
CRYPTOGRAPHY, CRYPTOSYSTEMS, LINEAR codes, PUBLIC key cryptography, DECODING algorithms |
| Abstract: |
In this paper, we define expanded LRPC codes from LRPC codes with a decoding algorithm using the one of the underlying LRPC codes. Next, we propose to use these codes for cryptography by deriving two cryptosystems in a McEliece setting. in order to reduce the key sizes, we use a generator matrix in systematic form for the first scheme, and an m − order quasi-cyclic LRPC code that we define for the second scheme. The obtained code has a very poor structure and is more likely to be a random linear code. Next, we give some security parameters and compare the key sizes of our public key with the key sizes of some cryptosystems. [ABSTRACT FROM AUTHOR] |
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