Generalized Hamming weights of codes over the $\mathcal{GH}$ curve
| Autor: | Alonso Sepúlveda Castellanos |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Work (thermodynamics) Algebra and Number Theory Hierarchy (mathematics) Computer Networks and Communications Applied Mathematics 020206 networking & telecommunications 0102 computer and information sciences 02 engineering and technology Topology 01 natural sciences Microbiology Algebraic geometric Exact results 010201 computation theory & mathematics 0202 electrical engineering electronic engineering information engineering Discrete Mathematics and Combinatorics Hamming weight Hamming code Computer Science::Information Theory Mathematics |
| Zdroj: | Advances in Mathematics of Communications. 11:115-122 |
| ISSN: | 1930-5338 |
| DOI: | 10.3934/amc.2017006 |
| Popis: | In this work, we studied the generalized Hamming weights of algebraic geometric Goppa codes on the $\mathcal{GH}$ curve. Especially, exact results on the second generalized Hamming weight are given for almost all cases. Furthermore, we apply the results obtained to show an example where the weight hierarchy characterizes the performance of the $\mathcal{GH}$ codes on a noiseless communication channel. |
| Databáze: | OpenAIRE |
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