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Good iso-dual AG-codes from towers of function fields

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arxiv 2503.08899 v1 pith:BD355C5K submitted 2025-03-11 math.NT

María Chara , Ricardo Podestá , Luciane Quoos , Ricardo Toledano This is my paper
classification math.NT
keywords ag-codesgoodiso-dualasymptoticallyfieldsfunctiontowersadvantage
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We present a simple method to establish the existence of asymptotically good sequences of iso-dual AG-codes. A key advantage of our approach, beyond its simplicity, is its flexibility, allowing it to be applied to a wide range of towers of function fields. As a result, we present a novel example of an asymptotically good sequence of iso-dual AG-codes over a finite field with 8 elements.

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  1. Sequences of LCD AG codes and LCP of AG Codes attaining the Tsfasman-Vladut-Zink bound

    math.AG 2025-05 accept novelty 7.0 of 10

    Infinite explicit sequences of LCD, LCP, self-orthogonal, and self-dual AG codes over F_{q^2} attain the Tsfasman-Vladut-Zink bound.

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