Linear codes over F4R and their MacWilliams identity

• Main Authors: Benbelkacem, Nasreddine, Ezerman, Martianus Frederic, Abualrub, Taher
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2021
• Subjects: Science::Mathematics::Algebra; Code Over Ring; Mixed Alphabets
• Online Access: https://hdl.handle.net/10356/146385
• Institution: 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...