Constructing Sequences from Algebraic Curves

Date

2017-09-16

Author

Özbudak, Ferruh

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http://cage.ugent.be/~ml/irsee5/abstract_book.pdf
https://hdl.handle.net/11511/82559

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Constructing codes from algebraic curves Özbudak, Ferruh (1999-11-01) We discuss some recent constructions of codes from algebraic curves due to Xing, Niederreiter, and Lam, and we investigate their relations with Goppa's algebraic-geometric codes.
Constructing linear unequal error protection codes from algebraic curves Özbudak, Ferruh (Institute of Electrical and Electronics Engineers (IEEE), 2003-06-01) We show that the concept of "generalized algebraic geometry codes" which was recently introduced by Xing, Niederreiter, and Lam gives a natural framework for constructing linear unequal error protection codes.
Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve Geil, Olav; Özbudak, Ferruh; Ruano, Diego (Springer Science and Business Media LLC, 2019-06-01) Using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve over a finite field, we construct sequences with improved high nonlinear complexity. In particular we improve the bound obtained in Niederreiter and Xing (IEEE Trans Inf Theory 60(10):6696-6701, 2014, Theorem3) considerably and the bound in Niederreiter and Xing (2014, Theorem4) for some parameters.
Constructing the quantum Hall system on the Grassmannians Gr(2)(C-N) BALLI, FATİH; BEHTASH, ALİREZA; Kürkcüoğlu, Seçkin; ÜNAL, GÖNÜL (2014-07-18) In this talk, we give the formulation of Quantum Hall Effects (QHEs) on the complex Grassmann manifolds Gr2(CN). We set up the Landau problem in Gr2(CN), solve it using group theoretical techniques and provide the energy spectrum and the eigenstates in terms of the SU(N) Wigner D-functions for charged particles on Gr2(CN) under the influence of abelian and non-abelian background magnetic monopoles or a combination of these thereof. For the simplest case of Gr2(C4) we provide explicit constructions of the si...
Recognizing cluster algebras of finite type Seven, Ahmet İrfan (2007-01-03) We compute the list of all minimal 2-infinite diagrams, which are cluster algebraic analogues of extended Dynkin graphs.

Citation Formats

F. Özbudak, “Constructing Sequences from Algebraic Curves,” 2017, Accessed: 00, 2021. [Online]. Available: http://cage.ugent.be/~ml/irsee5/abstract_book.pdf.