Abstract: The article discusses systematic cyclic linear block codes. A block code uses an encoder that accepts a block of message symbols, and generates a block of code word symbols at the output.

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 ...

C++ tool for linear code analysis using Gröbner bases. Computes leader codewords, tests code equivalence, and analyzes automorphism groups based on recent coding ...