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https://hdl.handle.net/10356/143861| Title: | Reed–solomon codes over small fields with constrained generator matrices | Authors: | Greaves, Gary Syatriadi, Jeven |
Keywords: | Science::Mathematics | Issue Date: | 2019 | Source: | Greaves, G., & Syatriadi, J. (2019). Reed–Solomon Codes Over Small Fields With Constrained Generator Matrices. IEEE Transactions on Information Theory, 65(8), 4764–4770. doi:10.1109/tit.2019.2897767 | Journal: | IEEE Transactions on Information Theory | Abstract: | We give constructions of some special cases of [n, k] Reed-Solomon codes over finite fields of size at least n and n + 1 whose generator matrices have constrained support. Furthermore, we consider a generalization of the GM-MDS conjecture proposed by Lovett in 2018. We show that Lovett's conjecture is false in general and we specify when the conjecture is true. | URI: | https://hdl.handle.net/10356/143861 | ISSN: | 0018-9448 | DOI: | 10.1109/TIT.2019.2897767 | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/TIT.2019.2897767. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
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|---|---|---|---|---|
| Reed solomon codes over small fields with constrained generator matrices.pdf | 195.96 kB | Adobe PDF |  View/Open |
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