A note on the construction of optimal linear codes
β Scribed by Fumikazu Tamari
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 898 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In 1996 Rosenthal and York proposed (timeβinvariant) BCH convolutional codes [4] in which the parity check matrix of a BCH code is used in the construction of the convolutional code. The lower bound on the minimum free distance of a BCH convolutional code is guaranteed by the BCH limit.
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