The conorm code of an AG-code

نویسندگان

چکیده

Given a suitable extension $ F'/F of algebraic function fields over finite field \mathbb{F}_q $, we introduce the conorm code \operatorname{Con}_{F'/F}( \mathcal{C}) defined F' which is constructed from an geometry \mathcal{C} F $. We study parameters in terms ramification behavior places used to define and genus In case unramified extensions prove that \mathcal{C})^\perp = \mathcal{C}^\perp) when degree coprime characteristic also cyclic algebraic-geometry codes show some repetition codes, Hermitian all Reed-Solomon can be represented as codes.

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ژورنال

عنوان ژورنال: Advances in Mathematics of Communications

سال: 2023

ISSN: ['1930-5346', '1930-5338']

DOI: https://doi.org/10.3934/amc.2021018