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Rosenthal, J; York, E (1997). On the generalized Hamming weights of convolutional codes. IEEE Transactions on Information Theory, 43(1):330-335.
Motivated by applications in cryptology, Wei (1991) introduced the concept of a generalized Hamming weight for a linear block code. In this correspondence, we define generalized Hamming weights for the class of convolutional codes and we derive several of their basic properties. By restricting to convolutional codes having a generator matrix G(D) with bounded Kronecker indices we are able to derive upper and lower bounds on the weight hierarchy
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Information Systems
Physical Sciences > Computer Science Applications Social Sciences & Humanities > Library and Information Sciences |
| Uncontrolled Keywords: | bounded Kronecker indices , convolutional codes , cryptology , generalized Hamming weights , generator matrix , linear block code , lower bounds , upper bounds , weight hierarchy |
| Language: | English |
| Date: | 1997 |
| Deposited On: | 16 Mar 2010 11:11 |
| Last Modified: | 03 May 2025 01:37 |
| Publisher: | IEEE |
| ISSN: | 0018-9448 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1109/18.567750 |
Rosenthal, J