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Quaternary affine variety codes over a Klein-like curve

By: Contributor(s): Publication details: New Delhi Springer 2024Edition: Vol.55(1), MarDescription: 1-14pSubject(s): Online resources: In: Indian journal of pure and applied mathematicsSummary: In this note, we study primary monomial affine variety codes defined from the Klein-like curve over . Implementing the techniques suggested by Geil and Özbudak in [3], we estimate the minimum distance of various considered codes. In a few cases, we obtain the exact value of the symbol-pair distance of these codes. Furthermore, we determine lower bounds on the generalized Hamming weights of the codes so obtained. Few codes obtained are the best-known codes according to [5].
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In this note, we study primary monomial affine variety codes defined from the Klein-like curve over . Implementing the techniques suggested by Geil and Özbudak in [3], we estimate the minimum distance of various considered codes. In a few cases, we obtain the exact value of the symbol-pair distance of these codes. Furthermore, we determine lower bounds on the generalized Hamming weights of the codes so obtained. Few codes obtained are the best-known codes according to [5].

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