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 ...

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 ...

Richard J. Hanson, Charles L. Lawson, Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems, Mathematics of Computation ...