Unified description of gaps G(Q) and Weierstrass semigroup H(Q) at totally ramified degree-one places in linearized function fields, with explicit generators and symmetry condition.
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4 Pith papers cite this work. Polarity classification is still indexing.
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Explicit descriptions of Weierstrass semigroups and gaps at totally ramified places on Kummer extensions, plus symmetry conditions and minimal generators, with applications to GGS and BM curves.
Characterizes absolute and relative maximal elements of generalized Weierstrass semigroups in linearized function fields and applies results to algebraic curves.
An arithmetic criterion identifies non-special divisors of small degree in Kummer function fields and yields new LCP AG codes.
citing papers explorer
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Weierstrass semigroups at totally ramified places of degree one on linearized function fields
Unified description of gaps G(Q) and Weierstrass semigroup H(Q) at totally ramified degree-one places in linearized function fields, with explicit generators and symmetry condition.
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Weierstrass semigroups at totally ramified places of degree one on Kummer extensions
Explicit descriptions of Weierstrass semigroups and gaps at totally ramified places on Kummer extensions, plus symmetry conditions and minimal generators, with applications to GGS and BM curves.
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On generalized Weierstrass semigroups in linearized function fields
Characterizes absolute and relative maximal elements of generalized Weierstrass semigroups in linearized function fields and applies results to algebraic curves.
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Characterization of non-special divisors of small degree on Kummer extensions and LCP codes
An arithmetic criterion identifies non-special divisors of small degree in Kummer function fields and yields new LCP AG codes.