Cyclic and constacyclic codes form a pivotal class of linear error‐correcting codes that are defined over finite fields. Their algebraic structure, characterised by ideals in polynomial quotient rings ...

test and verify the Reed-Solomon codec. Each of these steps is important, and missing one results in developing hardware that does not work the first time and must be re-created. For example, it is ...

Abstract: To address the issues of poor fault tolerance and high computational complexity in traditional matrix analysis methods for identifying the code length and synchronization of linear block ...

Abstract: This paper describes an iterative decoding algorithm for any product code built using linear block codes. It is based on soft-input/soft-output decoders for decoding the component codes so ...