Back to Search
Start Over
Higher Weight Spectra of Veronese Codes
- Source :
- IEEE Transactions on Information Theory. 66:3538-3546
- Publication Year :
- 2020
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 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 the field with q elements. Our methods will be a study of the Stanley-Reisner rings of a series of matroids associated to each code C<br />14 pages
- Subjects :
- Physics
Code (set theory)
Mathematics::Commutative Algebra
Series (mathematics)
VDP::Technology: 500::Information and communication technology: 550
020206 networking & telecommunications
02 engineering and technology
Library and Information Sciences
Matroid
Spectral line
Computer Science Applications
Combinatorics
Finite field
Field extension
Weight distribution
FOS: Mathematics
0202 electrical engineering, electronic engineering, information engineering
Mathematics - Combinatorics
Combinatorics (math.CO)
Hamming weight
VDP::Teknologi: 500::Informasjons- og kommunikasjonsteknologi: 550
Information Systems
Subjects
Details
- ISSN :
- 15579654 and 00189448
- Volume :
- 66
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Information Theory
- Accession number :
- edsair.doi.dedup.....158fd81bbb812e8169c1876cad9b881f