Algebraic Geometry Codes from Castle Curves
ICMCTA '08 Proceedings of the 2nd international Castle meeting on Coding Theory and Applications
On algebras admitting a complete set of near weights, evaluation codes, and Goppa codes
Designs, Codes and Cryptography
Minimum distance decoding of general algebraic geometry codes via lists
IEEE Transactions on Information Theory
Evaluation codes defined by finite families of plane valuations at infinity
Designs, Codes and Cryptography
| Hi-index | 754.90 |
Hoslashholdt, van Lint, and Pellikaan used order functions to construct codes by means of Linear Algebra and Semigroup Theory only. However, Geometric Goppa codes that can be represented by this method are mainly those based on just one point. In this correspondence, we introduce the concept of near order function with the aim of generalizing this approach in such a way that a wider family of Geometric Goppa codes can be studied on a more elementary setting