Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve

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چکیده

In this paper we determine the generalized Weierstrass semigroup $$ \widehat{H}(P_{\infty }, P_1, \ldots , P_{m})$$ and consequently $$H(P_{\infty at $$m+1$$ points on curves $$\mathcal {X}_{a,b,n,s}$$ {Y}_{n,s}$$ . These has been introduced in Tafazolian et al (J Pure Appl Algebra 220:1122–1132, 2016) as new examples of which cannot be covered by Hermitian curve.

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ژورنال

عنوان ژورنال: Designs, Codes and Cryptography

سال: 2022

ISSN: ['0925-1022', '1573-7586']

DOI: https://doi.org/10.1007/s10623-022-01130-3