Generalized Weierstrass semigroups and Riemann-Roch spaces for certain curves with separated variables

Finite Fields and Their Applications ◽

10.1016/j.ffa.2019.02.007 ◽

2019 ◽

Vol 57 ◽

pp. 230-248

Author(s):

Wanderson Tenório ◽

Guilherme Tizziotti

Keyword(s):

Weierstrass Semigroups ◽

Separated Variables

Download Full-text

Harmonic perturbations with delay of periodic separated variables differential equations

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2015.046 ◽

2015 ◽

Vol 46 (1) ◽

pp. 261 ◽

Cited By ~ 3

Author(s):

Luca Bisconti ◽

Marco Spadini

Keyword(s):

Differential Equations ◽

Separated Variables

Download Full-text

Invariants in Separated Variables: Yang-Baxter, Entwining and Transfer Maps

Symmetry Integrability and Geometry Methods and Applications ◽

10.3842/sigma.2019.048 ◽

2019 ◽

Cited By ~ 3

Author(s):

Pavlos Kassotakis ◽

Keyword(s):

Transfer Maps ◽

Separated Variables

Download Full-text

On Multi-Index Filtrations Associated to Weierstraß Semigroups

Numerical Semigroups - Springer INdAM Series ◽

10.1007/978-3-030-40822-0_14 ◽

2020 ◽

pp. 231-258

Author(s):

Julio José Moyano-Fernández

Keyword(s):

Multi Index ◽

Weierstrass Semigroups

Download Full-text

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

Transactions of the American Mathematical Society ◽

10.1090/tran/7562 ◽

2019 ◽

Vol 371 (9) ◽

pp. 6377-6402 ◽

Cited By ~ 1

Author(s):

Sotiris Karanikolopoulos ◽

Aristides Kontogeorgis

Keyword(s):

Weierstrass Semigroups

Download Full-text

Dual separated variables and scalar products

Physics Letters B ◽

10.1016/j.physletb.2020.135494 ◽

2020 ◽

Vol 806 ◽

pp. 135494 ◽

Cited By ~ 4

Author(s):

Nikolay Gromov ◽

Fedor Levkovich-Maslyuk ◽

Paul Ryan ◽

Dmytro Volin

Keyword(s):

Scalar Products ◽

Separated Variables

Download Full-text

Ideals of Numerical Semigroups and Error-Correcting Codes

Symmetry ◽

10.3390/sym11111406 ◽

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.

Download Full-text