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

• Main Authors: Ling, San, Niederreiter, Harald, Sole, Patrick
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2013
• 主題: DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation
• 在線閱讀: https://hdl.handle.net/10356/96413; http://hdl.handle.net/10220/9841
• 機構: 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...