Improved spectral bound for quasi-cyclic codes

• المؤلفون الرئيسيون: Luo, Gaojun, Ezerman, Martianus Frederic, Ling, San, Özkaya, Buket
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2024
• الموضوعات: Mathematical Sciences; Quasi-cyclic code; Minimum distance; Spectral bound
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/174996
• المؤسسة: Nanyang Technological University

Spectral bounds form a powerful tool to estimate the minimum distances of quasi-cyclic codes. They generalize the defining set bounds of cyclic codes to those of quasi-cyclic codes. Based on the eigenvalues of quasi-cyclic codes and the corresponding eigenspaces, we provide an improved spectral boun...