Linear codes have long been central to the development of error‐correcting methods in communication and data storage, while matroid theory provides a unifying combinatorial framework for ...

This paper sets a foundation for the study of linear codes over finite rings. The finite Frobenius rings are singled out as the most appropriate for coding theoretic purposes because two classical ...

The theory of error-correcting codes, or the computational difficulty of decoding a general linear code, serves as the foundation for NP-hardness (e.g., McEliece).

His linear code could be arranged so that the inevitable smear only lengthened the code's bars without compromising its reading.