Back to Search
Start Over
The Weight Distribution of a Class of Cyclic Codes Related to Hermitian Forms Graphs.
- Source :
-
IEEE Transactions on Information Theory . May2013, Vol. 59 Issue 5, p3064-3067. 4p. - Publication Year :
- 2013
-
Abstract
- The determination of weight distribution of cyclic codes involves the evaluation of Gauss sums and exponential sums. Despite some cases where a neat expression is available, the computation is generally rather complicated. In this note, we determine the weight distribution of a class of reducible cyclic codes whose dual codes may have arbitrarily many zeros. This goal is achieved by building an unexpected connection between the corresponding exponential sums and the spectra of Hermitian forms graphs. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 59
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 87108926
- Full Text :
- https://doi.org/10.1109/TIT.2013.2242957