Linear codes over F4R and their MacWilliams identity

• المؤلفون الرئيسيون: Benbelkacem, Nasreddine, Ezerman, Martianus Frederic, Abualrub, Taher
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2021
• الموضوعات: Science::Mathematics::Algebra; Code Over Ring; Mixed Alphabets
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/146385
• المؤسسة: Nanyang Technological University

Let 4 be the field of four elements. We denote by R the commutative ring, with 16 elements, 4 v4:= {a vb|a,b 4} with v2 = v. This work defines linear codes over the ring of mixed alphabets 4R as well as their dual codes under a nondegenerate inner product. We then derive the systematic form of the r...