Optimal family of q-ary codes obtained from a substructure of generalised Hadamard matrices

• المؤلفون الرئيسيون: Bracken, Carl, Chee, Yeow Meng, Purkayastha, Punarbasu
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: Conference or Workshop Item
• اللغة: English
• منشور في: 2013
• الموضوعات: DRNTU::Science::Mathematics
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/102595; http://hdl.handle.net/10220/16387

In this article we construct an infinite family of linear error correcting codes over Fq for any prime power q. The code parameters are [q2t + qt-1 - q2t-1 - qt, 2t+1, q2t + q2t-2 + qt-1 - 2q2t-1 - qt]q, for any positive integer t. This family is a generalisation of the optimal self-complementary bi...