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Higher Weight Spectra of Veronese Codes

Permanent link
https://hdl.handle.net/10037/18620
DOI
https://doi.org/10.1109/TIT.2019.2948180
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Date
2019-10-18
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Johnsen, Trygve; Verdure, Hugues
Abstract
We study q-ary linear codes C obtained from Veronese surfaces over finite fields.We show how one can find the higher weight spectra of these codes, or equivalently, the weight distribution of all extension codes of C over all field extensions of the ground field. Our methods will be a study of the Stanley-Reisner rings of a series of matroids associated to each code C.
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© 2020 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.
Publisher
IEEE
Citation
Johnsen, T. & Verdure, H. (2020). Higher Weight Spectra of Veronese Codes. IEEE Transactions on Information Theory, 66(6), 3538-3546.
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