Order Functions and Evaluation Codes

Based on the notion of an order function we construct and determine the parameters of a class of error-correcting evaluation codes. This class includes the one-point algebraic geometry codes as well as the generalized Reed-Muller codes, and the parameters are determined without using heavy machinery from algebraic geometry.

• Type: Conference
• Year: 1997
• Where: AAECC
• Authors: Tom Høholdt, Jacobus H. van Lint, Ruud Pellikaan
• Keywords: AAECC 1997, Algebraic Geometry, Algebraic Geometry Codes, Algorithms, Error-correcting Evaluation Codes