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Z2[u]Z2[u]-Additive codes.
- Source :
-
Discrete Mathematics, Algorithms & Applications . Jan2024, p1. 13p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study mixed alphabet codes over two alphabets Z2, and its extension Z2[u] = Z2 + uZ2, u2 = 0. We define new Gray maps, using which we study cyclic codes and obtain the properties of their generators. Further, we construct constacyclic codes, and linear codes, and observe the useful properties of their generators. Finally, we present some examples of cyclic codes and binary linear codes. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17938309
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics, Algorithms & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 174622523
- Full Text :
- https://doi.org/10.1142/s179383092350101x