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Higher Weight Spectra of Veronese Codes.
- Source :
- IEEE Transactions on Information Theory; Jun2020, Vol. 66 Issue 6, p3538-3546, 9p
- Publication Year :
- 2020
-
Abstract
- We study ${q}$ -ary linear codes ${C}$ obtained from Veronese surfaces over finite fields. We show how one can find the higher weight spectra of these codes, or equivalently, the weight distribution of all extension codes of ${C}$ over all field extensions of $\mathbb {F}_{q}$. Our methods will be a study of the Stanley-Reisner rings of a series of matroids associated to each code ${C}$. [ABSTRACT FROM AUTHOR]
- Subjects :
- FINITE fields
BINARY codes
LINEAR codes
CIPHERS
HAMMING weight
MATROIDS
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 66
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 143457058
- Full Text :
- https://doi.org/10.1109/TIT.2019.2948180