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Construction of binary linear codes via rational function fields.
- Source :
- Designs, Codes & Cryptography; Jun2017, Vol. 83 Issue 3, p633-638, 6p
- Publication Year :
- 2017
-
Abstract
- By employing a certain multiplicative group in the rational function field and places of degree one and two, we present a construction of binary linear codes in this paper. One feature is that the minimum distance of the code is bounded via the Hurwitz genus formula of function fields. It turns out that many optimal and best-known binary linear codes are obtained through our construction. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 83
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 122047903
- Full Text :
- https://doi.org/10.1007/s10623-016-0252-1