Abelian codes in principal ideal group algebras

• Main Authors: Jitman, Somphong, Ling, San, Liu, Hongwei, Xie, Xiaoli
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2013
• 主題: DRNTU::Science::Mathematics::Applied mathematics::Information theory
• 在線閱讀: https://hdl.handle.net/10356/107232; http://hdl.handle.net/10220/17834; http://dx.doi.org/10.1109/TIT.2012.2236383
• 機構: Nanyang Technological University

We study abelian codes in principal ideal group algebras (PIGAs). We first give an algebraic characterization of abelian codes in any group algebra and provide some general results. For abelian codes in a PIGA, which can be viewed as cyclic codes over a semisimple group algebra, it is shown that eve...