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Lieb, Julia; Pinto, Raquel (2023). A decoding algorithm for 2D convolutional codes over the erasure channel. Advances in Mathematics of Communication, 17(4):935-959.
Two-dimensional (2D) convolutional codes are a generalization of (1D) convolutional codes, which are suitable for transmission over an erasure channel. In this paper, we present a decoding algorithm for 2D convolutional codes over such a channel by reducing the decoding process to several decoding steps applied to 1D convolutional codes. Moreover, we provide constructions of 2D convolutional codes that are specially tailored to our decoding algorithm.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 340 Law
610 Medicine & health 510 Mathematics |
| Uncontrolled Keywords: | Applied Mathematics, Discrete Mathematics and Combinatorics, Computer Networks and Communications, Algebra and Number Theory, Applied Mathematics, Discrete Mathematics and Combinatorics, Computer Networks and Communications, Algebra and Number Theory |
| Language: | English |
| Date: | 1 January 2023 |
| Deposited On: | 10 Nov 2021 14:12 |
| Last Modified: | 26 Dec 2024 02:37 |
| Publisher: | American Institute of Mathematical Sciences (A I M S Press) |
| ISSN: | 1930-5338 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.3934/amc.2021031 |
Lieb, Julia