The weights in MDS codes

• المؤلفون الرئيسيون: Ezerman, Martianus Frederic, Grassl, Markus, Sole, Patrick
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2019
• الموضوعات: DRNTU::Science::Mathematics; Covering Radius; MDS Codes
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/100370; http://hdl.handle.net/10220/48554
• المؤسسة: Nanyang Technological University

The weights in maximum distance separable (MDS) codes of length n and dimension k over the finite field GF(q) are studied. Up to some explicit exceptional cases, the MDS codes with parameters given by the MDS conjecture are shown to contain all k weights in the range n - k + 1 to n. The proof uses t...