Rank-metric codes and their applications
The rank metric measures the distance between two matrices by the rank of their difference.
Codes designed for the rank metric have attracted considerable attention in recent years …
Codes designed for the rank metric have attracted considerable attention in recent years …
On the Generalizations of the Rank Metric over Finite Chain Rings
HT Kamche, HT Kalachi - International Conference on Cryptology in Africa, 2024 - Springer
The rank metric over finite fields has received a lot of attention these last decades. Several
works propose generalizations of this metric to finite rings, each one using a particular …
works propose generalizations of this metric to finite rings, each one using a particular …
Post-quantum cryptography in the Hamming metric, the rank metric, and the sum-rank metric
JW Renner - 2022 - mediatum.ub.tum.de
This thesis studies code-based cryptography. First, three problems related to code-based
cryptography are investigated and algorithms to solve them are presented. Then, attacks on …
cryptography are investigated and algorithms to solve them are presented. Then, attacks on …
Maximum sum-rank distance codes over finite chain rings
U Martínez-Peñas, S Puchinger - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this work, maximum sum-rank distance (MSRD) codes and linearized Reed-Solomon
codes are extended to finite chain rings. It is proven that linearized Reed-Solomon codes …
codes are extended to finite chain rings. It is proven that linearized Reed-Solomon codes …
On the rank decoding problem over finite principal ideal rings
HT Kalachi, HT Kamche - arXiv preprint arXiv:2106.11569, 2021 - arxiv.org
The rank decoding problem has been the subject of much attention in this last decade. This
problem, which is at the base of the security of public-key cryptosystems based on rank …
problem, which is at the base of the security of public-key cryptosystems based on rank …
List Decoding of Quaternary Codes in the Lee Metric
M Greferath, J Zumbrägel - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
We present a list decoding algorithm for quaternary negacyclic codes over the Lee metric.
To achieve this result, we use a Sudan-Guruswami type list decoding algorithm for Reed …
To achieve this result, we use a Sudan-Guruswami type list decoding algorithm for Reed …