Decoding Linear Codes over Chain Rings Given by Parity Check Matrices Gómez Torrecillas, José Lobillo Borrero, Francisco Javier Navarro Garulo, Gabriel Chain ring Linear code Decoding Parity check matrix This research was funded by AEI (https://doi.org/10.13039/501100011033 (accessed on 6 August 2021)), grant number PID2019-110525GB-I00. We design a decoding algorithm for linear codes over finite chain rings given by their parity check matrices. It is assumed that decoding algorithms over the residue field are known at each degree of the adic decomposition. 2021-10-07T10:36:01Z 2021-10-07T10:36:01Z 2021-08-07 journal article Gómez-Torrecillas, J.; Lobillo, F.J.; Navarro, G. Decoding Linear Codes over Chain Rings Given by Parity Check Matrices. Mathematics 2021, 9, 1878. [https://doi.org/10.3390/math9161878] http://hdl.handle.net/10481/70719 10.3390/math9161878 eng http://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España MDPI