On the algebraic structure of quasi-cyclic codes I : finite fields

• المؤلفون الرئيسيون: Ling, San, Sole, Patrick
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2013
• الموضوعات: DRNTU::Engineering::Computer science and engineering::Computing methodologies::Symbolic and algebraic manipulation
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/96416; http://hdl.handle.net/10220/9827

A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cyclic code over a field as a linear code over an auxiliary ring. By the use of the Chinese remainder theorem (CRT), or of the discrete Fourier transform (DFT), that ring can be decomposed into a direct p...