Mathematics, Department of
Date of this Version
1999
Citation
Published in Journal of Pure and Applied Algebra 144 (1999), pp 91-110
doi 10.1016/S0022-4049(98)00047-4
Abstract
The techniques of algebraic geometry have been widely and successfully applied to the study of linear codes over finite fields since the early 1980’s. Recently, there has been an increased interest in the study of linear codes over finite rings. In this paper, we combine these two approaches to coding theory by introducing the study of algebraic geometric codes over rings. In addition to defining these new codes, we prove several results about their properties.
Comments
Copyright 1999 Elsevier Science B.V. Used by permission.