Higher Weight Spectra of Veronese Codes

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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
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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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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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