Back to Search
Start Over
A construction of q-ary linear codes with two weights.
- Source :
-
Finite Fields & Their Applications . Nov2017, Vol. 48, p20-42. 23p. - Publication Year :
- 2017
-
Abstract
- Linear codes with a few weights are very important in coding theory and have attracted a lot of attention. In this paper, we present a construction of q -ary linear codes from trace and norm functions over finite fields. The weight distributions of the linear codes are determined in some cases based on Gauss sums. It is interesting that our construction can produce optimal or almost optimal codes. Furthermore, we show that our codes can be used to construct secret sharing schemes with interesting access structures and strongly regular graphs with new parameters. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR codes
*POLYNOMIALS
*MATHEMATICAL functions
*GAUSSIAN sums
*REGULAR graphs
Subjects
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 48
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 125358793
- Full Text :
- https://doi.org/10.1016/j.ffa.2017.07.006