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Construction of Expurgated and Extended Goppa Codes With Dihedral Automorphism Groups.
- Source :
- IEEE Transactions on Information Theory; Oct2022, Vol. 68 Issue 10, p6472-6480, 9p
- Publication Year :
- 2022
-
Abstract
- In this paper, we determine all dihedral subgroups in $PGL_{2}(\mathbb {F}_{q})$ , where $q=2^{l}$ and $l$ is a positive integer; and construct binary expurgated and extended Goppa codes with dihedral automorphism groups. Moreover, it is easy to obtain binary quasi-cyclic expurgated or extended Goppa codes. [ABSTRACT FROM AUTHOR]
- Subjects :
- BINARY codes
AUTOMORPHISM groups
REED-Solomon codes
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Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 68
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 159210739
- Full Text :
- https://doi.org/10.1109/TIT.2022.3178110