Linear codes over F4R and their MacWilliams identity

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...

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Bibliographic Details
Main Authors: Benbelkacem, Nasreddine, Ezerman, Martianus Frederic, Abualrub, Taher
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
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Online Access:https://hdl.handle.net/10356/146385
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Institution: Nanyang Technological University
Language: English