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On Euclidean self-dual codes and isometry codes.
- Source :
-
Applicable Algebra in Engineering, Communication & Computing . Jan2022, Vol. 33 Issue 1, p73-89. 17p. - Publication Year :
- 2022
-
Abstract
- In this paper, we provide new methods and algorithms to construct Euclidean self-dual codes over large finite fields. With the existence of a dual basis, we study dual preserving linear maps, and as an application, we use them to construct self-orthogonal codes over small finite prime fields using the method of concatenation. Many new optimal self-orthogonal and self-dual codes are obtained. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR operators
*LINEAR codes
*FINITE fields
*EUCLIDEAN algorithm
*BINARY codes
Subjects
Details
- Language :
- English
- ISSN :
- 09381279
- Volume :
- 33
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applicable Algebra in Engineering, Communication & Computing
- Publication Type :
- Academic Journal
- Accession number :
- 154793106
- Full Text :
- https://doi.org/10.1007/s00200-020-00434-y