Yildiz, Hikmet and Hassibi, Babak (2018) Optimum Linear Codes with Support Constraints over Small Fields. In: 2018 IEEE Information Theory Workshop (ITW). IEEE , Piscataway, NJ, pp. 1-5. ISBN 978-1-5386-3599-5. https://resolver.caltech.edu/CaltechAUTHORS:20190204-162012565
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Abstract
The problem of designing a linear code with the largest possible minimum distance, subject to support constraints on the generator matrix, has recently found several applications. These include multiple access networks [3], [5] as well as weakly secure data exchange [4], [8]. A simple upper bound on the maximum minimum distance can be obtained from a sequence of Singleton bounds (see (3) below) and can further be achieved by randomly choosing the nonzero elements of the generator matrix from a field of a large enough size.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 2018 IEEE. | |||||||||
| Subject Keywords: | Linear codes, minimum distance | |||||||||
| DOI: | 10.1109/ITW.2018.8613535 | |||||||||
| Record Number: | CaltechAUTHORS:20190204-162012565 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190204-162012565 | |||||||||
| Official Citation: | H. Yildiz and B. Hassibi, "Optimum Linear Codes with Support Constraints over Small Fields," 2018 IEEE Information Theory Workshop (ITW), Guangzhou, China, 2018, pp. 1-5. doi: 10.1109/ITW.2018.8613535 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 92643 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 05 Feb 2019 01:05 | |||||||||
| Last Modified: | 16 Nov 2021 03:52 |
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