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Formally self-dual additive codes over
- Source :
-
Journal of Symbolic Computation . Jul2010, Vol. 45 Issue 7, p787-799. 13p. - Publication Year :
- 2010
-
Abstract
- Abstract: Additive codes over have been of great interest due to their application to quantum error correction. As another application, we introduce a new class of formally self-dual additive codes over , which is a natural analogue of the binary formally self-dual codes and is missing in the study of additive codes over . In fact, considered formally self-dual linear codes over of even lengths, and suggested classifying formally self-dual linear codes over of odd lengths in order to study lattices from these codes. These motivate our study on formally self-dual additive codes over . In this paper, we define extremal and near-extremal formally self-dual additive codes over , classify all extremal codes, and construct many near-extremal codes. We discuss a general method (called the weak balance principle) for constructing such codes. We conclude with some open problems. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 07477171
- Volume :
- 45
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Symbolic Computation
- Publication Type :
- Academic Journal
- Accession number :
- 50734153
- Full Text :
- https://doi.org/10.1016/j.jsc.2010.03.011