Dr. Kanat S. Abdukhalikov

Profil

Derzeitige StellungProfessor W-2 und Äquivalente
FachgebietAlgebra, Zahlentheorie, Algebraische Geometrie
Keywordsfinite groups, integral lattices, Lie algebras, linear codes, representations

Aktuelle Kontaktadresse

LandKasachstan
OrtAlmaty

Gastgeber*innen während der Förderung

Prof. Dr. Rudolf ScharlauFakultät für Mathematik, Technische Universität Dortmund, Dortmund
Beginn der ersten Förderung01.01.2001

Programm(e)

2000Humboldt-Forschungsstipendien-Programm

Publikationen (Auswahl)

2013Kanat Abdukhalikov: On codes over rings invariant under affine groups . In: Advances in Mathematics of Communications , 2013, 253-265
2009Kanat Abdukhalikov, Eiichi Bannai, Sho Suda: Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets. In: Journal of Combinatorial Theory, Series A , 2009, 434-448
2009Kanat Abdukhalikov, Rudolf Scharlau: Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers. In: Mathematics of Computation , 2009, 387-403
2005Kanat Abdukhalikov: Defining sets of extended cyclic codes invariant under the affine group. In: Journal of Pure and Applied Algebra, 2005, 1-19
2004Kanat Abdukhalikov: Unimodular Hermitian lattices in dimension 13. In: Journal of Algebra, 2004, 186-190
2004Kanat Abdukhalikov: Lattices invariant under the affine general linear group. In: Journal of Algebra , 2004, 638-662
2001Kanat Abdukhalikov: Affine invariant and cyclic codes over p-adic numbers and finite rings. In: Designs, Codes and Cryptography, 2001, 343-370
2001Kanat Abdukhalikov: Codes over p-adic numbers and finite rings invariant under the full affine group. In: Finite Fields and Their Applications, 2001, 449-467
2001Kanat S. Abdukhalikov: Defining sets of cyclic codes invariant under the affine group. In: Electron. Notes Discrete Math. , 2001, 328-336
1997Kanat S. Abdukhalikov: Invariant Hermitian lattices in the Steinberg module and their isometry groups. In: Communications in Algebra, 1997, 2607-2626