We introduce a new family of linear block codes over Zq that we name low-Lee-density parity-check (LLDPC) codes. These codes, which are embedded with the Lee metric, are characterized by a parity-check matrix whose rows and columns have low Lee weight. We propose general constructions of LLDPC codes and devise an efficient iterative decoding algorithm for them, with complexity that grows linearly with the code length. We assess the error rate performance of these codes through numerical simulations.
Low-Lee-Density Parity-Check Codes / Santini, P.; Battaglioni, M.; Chiaraluce, F.; Baldi, M.; Persichetti, E.. - ELETTRONICO. - (2020). (Intervento presentato al convegno ICC 2020 tenutosi a Dublin, Ireland nel 7-11 June 2020) [10.1109/ICC40277.2020.9148812].
Low-Lee-Density Parity-Check Codes
P. Santini;M. Battaglioni;F. Chiaraluce
;M. Baldi;
2020-01-01
Abstract
We introduce a new family of linear block codes over Zq that we name low-Lee-density parity-check (LLDPC) codes. These codes, which are embedded with the Lee metric, are characterized by a parity-check matrix whose rows and columns have low Lee weight. We propose general constructions of LLDPC codes and devise an efficient iterative decoding algorithm for them, with complexity that grows linearly with the code length. We assess the error rate performance of these codes through numerical simulations.| File | Dimensione | Formato | |
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