On the covering structures of two classes of linear codes from perfect nonlinear functions

• Main Authors: Li, Chao, Ling, San, Qu, Longjiang
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory
• Online Access: https://hdl.handle.net/10356/96412; http://hdl.handle.net/10220/9845
• Institution: Nanyang Technological University

In this paper, the weight distributions of two classes of linear codes based on all known explicit perfect nonlinear functions from Fqm to itself are determined using a unified approach. All the minimal codewords of these codes are characterized according to their weights, which suggests that their...