Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/143861
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dc.contributor.authorGreaves, Garyen_US
dc.contributor.authorSyatriadi, Jevenen_US
dc.date.accessioned2020-09-28T04:02:56Z-
dc.date.available2020-09-28T04:02:56Z-
dc.date.issued2019-
dc.identifier.citationGreaves, 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.2019.2897767en_US
dc.identifier.issn0018-9448en_US
dc.identifier.urihttps://hdl.handle.net/10356/143861-
dc.description.abstractWe 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.en_US
dc.description.sponsorshipMinistry of Education (MOE)en_US
dc.language.isoenen_US
dc.relation.ispartofIEEE Transactions on Information Theoryen_US
dc.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.en_US
dc.subjectScience::Mathematicsen_US
dc.titleReed–solomon codes over small fields with constrained generator matricesen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.identifier.doi10.1109/TIT.2019.2897767-
dc.description.versionAccepted versionen_US
dc.identifier.issue8en_US
dc.identifier.volume65en_US
dc.identifier.spage4764en_US
dc.identifier.epage4770en_US
dc.subject.keywordsReed-Solomon Codesen_US
dc.subject.keywordsSmall Fieldsen_US
dc.description.acknowledgementG.G. was supported by the Singapore Ministry of Education AcademicResearch Fund(Tier 1); grant number: RG127/16.en_US
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