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Profile
| Academic position | Associate Professor, Senior Lecturer, Reader |
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| Research fields | Algebra, Theory of Numbers, Algebraic Geometry |
| Keywords | finite groups, integral lattices, Lie algebras, linear codes, representations |
Current contact address
| Country | United Arab Emirates |
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| City | Al Ain |
| Institution | United Arab Emirates University |
| Institute | Department of Mathematical Sciences |
Host during sponsorship
| Prof. Dr. Rudolf Scharlau | Fakultät für Mathematik, Technische Universität Dortmund, Dortmund |
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| Start of initial sponsorship | 01/01/2001 |
Programme(s)
| 2000 | Humboldt Research Fellowship Programme |
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Publications (partial selection)
| 2013 | Kanat Abdukhalikov: On codes over rings invariant under affine groups . In: Advances in Mathematics of Communications , 2013, 253-265 |
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| 2009 | Kanat 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 |
| 2009 | Kanat Abdukhalikov, Rudolf Scharlau: Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers. In: Mathematics of Computation , 2009, 387-403 |
| 2005 | Kanat Abdukhalikov: Defining sets of extended cyclic codes invariant under the affine group. In: Journal of Pure and Applied Algebra, 2005, 1-19 |
| 2004 | Kanat Abdukhalikov: Unimodular Hermitian lattices in dimension 13. In: Journal of Algebra, 2004, 186-190 |
| 2004 | Kanat Abdukhalikov: Lattices invariant under the affine general linear group. In: Journal of Algebra , 2004, 638-662 |
| 2001 | Kanat Abdukhalikov: Affine invariant and cyclic codes over p-adic numbers and finite rings. In: Designs, Codes and Cryptography, 2001, 343-370 |
| 2001 | Kanat Abdukhalikov: Codes over p-adic numbers and finite rings invariant under the full affine group. In: Finite Fields and Their Applications, 2001, 449-467 |
| 2001 | Kanat S. Abdukhalikov: Defining sets of cyclic codes invariant under the affine group. In: Electron. Notes Discrete Math. , 2001, 328-336 |
| 1997 | Kanat S. Abdukhalikov: Invariant Hermitian lattices in the Steinberg module and their isometry groups. In: Communications in Algebra, 1997, 2607-2626 |