On Weierstrass Semigroups of Some Triples on Norm-Trace Curves

2009 ◽  
pp. 146-156
Author(s):  
Gretchen L. Matthews
Keyword(s):  
Weierstrass Semigroups ◽  
Trace Curves

scholarly journals Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers

2019 ◽  
Vol 371 (9) ◽  
pp. 6377-6402 ◽  
Author(s):  
Sotiris Karanikolopoulos ◽  
Aristides Kontogeorgis
Keyword(s):  
Weierstrass Semigroups

scholarly journals Ideals of Numerical Semigroups and Error-Correcting Codes

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1406
Author(s):  
Bras-Amorós
Keyword(s):  
Secret Sharing ◽  
Error Correcting Codes ◽  
Numerical Semigroups ◽  
Secret Sharing Schemes ◽  
List Decoding ◽  
Generalized Hamming Weights ◽  
Resilient Functions ◽  
Weierstrass Semigroups ◽  
Hamming Weights ◽  
Dual Sequences

Several results relating additive ideals of numerical semigroups and algebraic-geometrycodes are presented. In particular, we deal with the set of non-redundant parity-checks, the codelength, the generalized Hamming weights, and the isometry-dual sequences of algebraic-geometrycodes from the perspective of the related Weierstrass semigroups. These results are related tocryptographic problems such as the wire-tap channel, t-resilient functions, list-decoding, networkcoding, and ramp secret sharing schemes.

scholarly journals Weierstrass semigroups on the Giulietti–Korchmáros curve

2018 ◽  
Vol 52 ◽  
pp. 10-29 ◽  
Author(s):  
Peter Beelen ◽  
Maria Montanucci
Keyword(s):  
Weierstrass Semigroups

scholarly journals Two-Point Codes on Norm-Trace Curves

2008 ◽  
pp. 128-136 ◽  
Author(s):  
Carlos Munuera ◽  
Guilherme C. Tizziotti ◽  
Fernando Torres
Keyword(s):  
Trace Curves

scholarly journals Generalized Weierstrass semigroups and their Poincaré series

2019 ◽  
Vol 58 ◽  
pp. 46-69
Author(s):  
J.J. Moyano-Fernández ◽  
W. Tenório ◽  
F. Torres
Keyword(s):  
Poincaré Series ◽  
Poincare Series ◽  
Weierstrass Semigroups

scholarly journals The Weierstrass semigroups on double covers of genus two curves

2015 ◽  
Vol 38 (2) ◽  
pp. 201-206
Author(s):  
Takeshi Harui ◽  
Jiryo Komeda ◽  
Akira Ohbuchi
Keyword(s):  
Weierstrass Semigroups ◽  
Double Covers ◽  
Genus Two
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