We provide a geometric construction of [n,9,n−9]q near-MDS codes arising from elliptic curves with n Fq-rational points. Furthermore, we show that in some cases these codes cannot be extended to longer near-MDS codes
Near-MDS codes from elliptic curves / Aguglia, Angela; Giuzzi, Luca; Sonnino, Angelo. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - STAMPA. - 89:5(2021), pp. 965-972. [10.1007/s10623-021-00852-0]
Near-MDS codes from elliptic curves
Angela Aguglia
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2021-01-01
Abstract
We provide a geometric construction of [n,9,n−9]q near-MDS codes arising from elliptic curves with n Fq-rational points. Furthermore, we show that in some cases these codes cannot be extended to longer near-MDS codesFile in questo prodotto:
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