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Algebraic and Geometric Methods in Coding Theory.

cours CIMPA

Sudhir GHORPADE

Summary:  The course covered the following topics: 

Linear Codes associated to higher dimensional varieties:

Geometric approach to linear codes via the language of projective systems. The following specific classes of linear codes and some of their fundamental properties including determination of basic parameters will be discussed. 

  • Codes associated to Veronese varieties (Projective Reed-Muller Codes)
  • Grassmann codes
  • Schubert codes

Betti numbers of linear codes and matroids: 

Matroids and simplicial complexes associated to linear codes. Graded minimal free resolutions and Betti numbers of Stanley-Reisner rings of these simplicial complexes. Relations with generalized Hamming weights and generalized weight enumerator polynomials of linear codes

Organizing institute
CIMPA
Institute
IPM Institute for Research in Fundamental Sciences
Country
Iran
City
Tehran
Level of the audience/possible candidates
PhD students
Type
cours CIMPA
Free cost event
Yes
Dates
-
Deadline

Procédure de candidature

Les cours CIMPA sont essentiellement destinés aux étudiants et étudiantes de l'institut d'accueil.