On the algebraic structure of quasi-cyclic codes IV : repeated roots

• Main Authors: Ling, San, Niederreiter, Harald, Sole, Patrick
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation
• Online Access: https://hdl.handle.net/10356/96413; http://hdl.handle.net/10220/9841
• Institution: Nanyang Technological University

A trace formula for quasi-cyclic codes over rings of characteristic not coprime with the co-index is derived. The main working tool is the Generalized Discrete Fourier Transform (GDFT), which in turn relies on the Hasse derivative of polynomials. A characterization of Type II self-dual quasi-cyclic...