Error-Correcting Codes and Decoding Techniques

The field of error-correcting codes is moving towards the development of more efficient decoding techniques and the exploration of new code constructions. Researchers are focusing on improving the performance of existing codes, such as non-binary linear block codes, and investigating new approaches, like guessing decoding and generalized repetition codes. These advancements have the potential to enhance the reliability and integrity of communication systems. Notable papers in this area include: SCL Decoding of Non-Binary Linear Block Codes, which proposes a successive cancellation list decoding for non-binary linear block codes, and Guessing Decoding of Short Blocklength Codes, which presents a unified treatment of guessing decoding algorithms. Tight Lower Bounds on the Bandwidth Cost of MDS Convertible Codes in the Split Regime also provides significant contributions by deriving lower bounds on the bandwidth cost of conversion for systematic MDS convertible codes.

Sources

SCL Decoding of Non-Binary Linear Block Codes

Guessing Decoding of Short Blocklength Codes

Tight Lower Bounds on the Bandwidth Cost of MDS Convertible Codes in the Split Regime

DNA Storage in the Short Molecule Regime

Channel Coding for Gaussian Channels with Multifaceted Power Constraints

Generalized Repetition Codes and Their Application to HARQ

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