On the reconstruction of binary codes from the dimensions of their subcodes
โ Scribed by E. V. Gorkunov; S. V. Avgustinovich
- Book ID
- 111471359
- Publisher
- Pleiades Publishing
- Year
- 2011
- Tongue
- English
- Weight
- 422 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1990-4789
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Classical Goppa codes are a special case of Alternant codes. First we prove that the parity-check subcodes of Goppa codes and the extended Goppa codes are both Alternant codes. Before this paper, all known cyclic Goppa codes were some particular BCH codes. Many families of Goppa codes with a cyclic
For a linear code over GF (q) we consider two kinds of ''subcodes'' called residuals and punctures. When does the collection of residuals or punctures determine the isomorphism class of the code? We call such a code residually or puncture reconstructible. We investigate these notions of reconstructi