Abelian codes in principal ideal group algebras

• المؤلفون الرئيسيون: Jitman, Somphong, Ling, San, Liu, Hongwei, Xie, Xiaoli
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2013
• الموضوعات: DRNTU::Science::Mathematics::Applied mathematics::Information theory
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/107232; http://hdl.handle.net/10220/17834; http://dx.doi.org/10.1109/TIT.2012.2236383
• المؤسسة: 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...