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Scopus Author ID: 6603364347

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Employment (1)

UAE University: Al Ain, AE

Professor (Department of Mathematical Sciences)
Employment
Source: Self-asserted source
Kanat Abdukhalikov

Education and qualifications (2)

Lomonosov Moscow State University: Moscow, RU

PhD in Mathematics ( Department of Higher Algebra)
Education
Source: Self-asserted source
Kanat Abdukhalikov

Lomonosov Moscow State University: Moscow, RU

M.S. in Mathematics
Education
Source: Self-asserted source
Kanat Abdukhalikov

Works (39)

On Linear Perfect <i>b</i>-Symbol Codes over Finite Fields[1]

Mathematics
2023-09 | Journal article | Author
DOI: 10.3390/math11194128
Contributors: Kanat Abdukhalikov; Jiajie Chen; Rongquan Feng
Source: check_circle
Multidisciplinary Digital Publishing Institute

Hyperovals and bent functions

European Journal of Combinatorics
2019 | Journal article
DOI: 10.1016/j.ejc.2019.01.003
EID:

2-s2.0-85060648065
Contributors: Abdukhalikov, K.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Short description of the Lunelli–Sce hyperoval and its automorphism group

Journal of Geometry
2019-12 | Journal article
DOI: 10.1007/s00022-019-0509-8
Part of ISSN: 0047-2468
Part of ISSN: 1420-8997
Source: Self-asserted source
Kanat Abdukhalikov

Bent functions and line ovals

Finite Fields and their Applications
2017 | Journal article
DOI: 10.1016/j.ffa.2017.06.002
EID:

2-s2.0-85021944289
Contributors: Abdukhalikov, K.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Bent functions linear on elements of some classical spreads and presemifields spreads

Cryptography and Communications
2017 | Journal article
DOI: 10.1007/s12095-016-0195-4
EID:

2-s2.0-85008386288
Contributors: Abdukhalikov, K.; Mesnager, S.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Explicit constructions of bent functions from pseudo-planar functions

Advances in Mathematics of Communications
2017 | Journal article
DOI: 10.3934/amc.2017021
EID:

2-s2.0-85018773375
Contributors: Abdukhalikov, K.; Mesnager, S.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Symplectic spreads, planar functions, and mutually unbiased bases

Journal of Algebraic Combinatorics
2015 | Journal article
DOI: 10.1007/s10801-014-0565-y
EID:

2-s2.0-84939997412
Contributors: Abdukhalikov, K.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

On codes over rings invariant under affine groups

Advances in Mathematics of Communications
2013 | Journal article
DOI: 10.3934/amc.2013.7.253
EID:

2-s2.0-84880603427
Contributors: Abdukhalikov, K.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets

Journal of Combinatorial Theory. Series A
2009 | Journal article
DOI: 10.1016/j.jcta.2008.07.002
EID:

2-s2.0-56749170736
Contributors: Abdukhalikov, K.; Bannai, E.; Suda, S.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Unimodular lattices in dimensions 14 and 15 over the eisenstein integers

Mathematics of Computation
2009 | Journal article
DOI: 10.1090/S0025-5718-08-02131-5
EID:

2-s2.0-58149263174
Contributors: Abdukhalikov, K.; Scharlau, R.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Finite groups and codes (Algebraic combinatorics and the

数理解析研究所講究録
2006 | Journal article
Source: Self-asserted source
Kanat Abdukhalikov

Defining sets of extended cyclic codes invariant under the affine group

Journal of Pure and Applied Algebra
2005 | Journal article
DOI: 10.1016/j.jpaa.2004.02.016
EID:

2-s2.0-10644221825
Contributors: Abdukhalikov, K.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

The permutation modules for finite (Affine) general linear groups

Journal of Mathematical Sciences
2005 | Journal article
DOI: 10.1007/s10958-005-0448-9
EID:

2-s2.0-27644474108
Contributors: Abdukhalikov, K.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Lattices invariant under the affine general linear group

Journal of Algebra
2004 | Journal article
DOI: 10.1016/S0021-8693(03)00496-4
EID:

2-s2.0-2942670594
Contributors: Abdukhalikov, K.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Unimodular hermitian lattices in dimension 13

Journal of Algebra
2004 | Journal article
DOI: 10.1016/j.jalgebra.2003.05.006
EID:

2-s2.0-1642437957
Contributors: Abdukhalikov, K.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Affine Invariant and Cyclic Codes over p-adic Numbers and Finite Rings

Designs, Codes, and Cryptography
2001 | Journal article
DOI: 10.1023/A:1011227228998
EID:

2-s2.0-0035426866
Contributors: Abdukhalikov, K.S.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Codes over p-adic numbers and finite rings invariant under the full affine group

Finite Fields and their Applications
2001 | Journal article
DOI: 10.1006/ffta.2000.0297
EID:

2-s2.0-0035675205
Contributors: Abdukhalikov, K.S.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings

Finite Fields and Applications
2001 | Book chapter
Source: Self-asserted source
Kanat Abdukhalikov

Defining Sets of Cyclic Codes Invariant Under the Affine Group

Electronic Notes in Discrete Mathematics
2001-04 | Journal article
DOI: 10.1016/s1571-0653(04)00184-2
Part of ISSN: 1571-0653
Source: Self-asserted source
Kanat Abdukhalikov
grade
Preferred source (of 2)‎

Cyclic and affine invariant codes

Workshop on coding and cryptography
1999 | Conference paper
Source: Self-asserted source
Kanat Abdukhalikov

Doubly transitive groups and lattices

Journal of Mathematical Sciences
1999-03 | Journal article
DOI: 10.1007/bf02366341
Part of ISSN: 1072-3374
Part of ISSN: 1573-8795
Source: Self-asserted source
Kanat Abdukhalikov

Fuzzy Linear Maps

Journal of Mathematical Analysis and Applications
1998 | Journal article
DOI: 10.1006/jmaa.1997.5637
EID:

2-s2.0-0040683417
Contributors: Abdukhalikov, K.S.; Kim, C.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Fuzzy Multilinear Mappings

JOURNAL OF FUZZY MATHEMATICS
1998 | Journal article
Source: Self-asserted source
Kanat Abdukhalikov

On the Security of the Hashing Scheme Based on SL 2

Fast Software Encryption
1998 | Book chapter
DOI: 10.1007/3-540-69710-1_7
Part of ISBN: 9783540642657
Part of ISBN: 9783540697107
Part of ISSN: 0302-9743
Source: Self-asserted source
Kanat Abdukhalikov

Группы автоморфизмов инвариантных решеток в модуле Стейнберга групп типа Ли нечетной характеристики

Математический сборник
1998 | Journal article
DOI: 10.4213/sm345
Part of ISSN: 0368-8666
Source: Self-asserted source
Kanat Abdukhalikov

Automorphism groups of invariant lattices in the Steinberg module of groups of Lie type of odd characteristic

Sbornik: Mathematics
1998-10-31 | Journal article
DOI: 10.1070/sm1998v189n09abeh000345
Part of ISSN: 1064-5616
Part of ISSN: 1468-4802
Source: Self-asserted source
Kanat Abdukhalikov

On fuzzy subalgebras

Fuzzy Sets and Systems
1998-01 | Journal article
DOI: 10.1016/s0165-0114(95)00047-x
Part of ISSN: 0165-0114
Source: Self-asserted source
Kanat Abdukhalikov

Fuzzy neurons and fuzzy multilinear mappings

Proceedings of International Conference on Neural Networks (ICNN'97)
1997 | Conference paper
DOI: 10.1109/icnn.1997.611727
ISBN: 0780341228
Source: Self-asserted source
Kanat Abdukhalikov

Modular permutation representations of PSL(n,p) and invariant lattices

Mat. Sb.
1997 | Journal article
DOI: 10.1070/SM1997v188n08ABEH000237
Source: Self-asserted source
Kanat Abdukhalikov

Модулярные подстановочные представления PSL}(n,p) и инвариантные решетки

Математический сборник
1997 | Journal article
DOI: 10.4213/sm237
Part of ISSN: 0368-8666
Source: Self-asserted source
Kanat Abdukhalikov

Invariant hermitian lattices in the steinberg module and their isometry groups

Communications in Algebra
1997-01 | Journal article
DOI: 10.1080/00927879708826010
Part of ISSN: 0092-7872
Part of ISSN: 1532-4125
Source: Self-asserted source
Kanat Abdukhalikov

The dual of a fuzzy subspace

Fuzzy Sets and Systems
1996-09 | Journal article
DOI: 10.1016/0165-0114(96)84977-3
Part of ISSN: 0165-0114
Source: Self-asserted source
Kanat Abdukhalikov

Integral lattices associated with a finite affine group

Mat. Sb.
1994 | Journal article
DOI: 10.1070/SM1995v083n02ABEH003599
Source: Self-asserted source
Kanat Abdukhalikov
grade
Preferred source (of 3)‎

On fuzzy bases of vector spaces

Fuzzy Sets and Systems
1994 | Journal article
DOI: 10.1016/0165-0114(94)90350-6
EID:

2-s2.0-38149148125
Contributors: Abdukhalikov, K.S.; Tulenbaev, M.S.; Umirbaev, U.U.
Source: Self-asserted source
Kanat Abdukhalikov via Scopus - Elsevier

Invariant integral lattices in Lie algebras of type $A_p^m-1$

Mat. Sb.
1993 | Journal article
DOI: 10.1070/SM1994v078n02ABEH003480
Source: Self-asserted source
Kanat Abdukhalikov
grade
Preferred source (of 2)‎

On a group of automorphisms of an orthogonal decomposition of a Lie algebra of type A_2^m-1

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
1991 | Journal article
Source: Self-asserted source
Kanat Abdukhalikov

Invariant lattices in Lie algebras of type $A_q-1$

Uspekhi Mat. Nauk
1988 | Journal article
DOI: 10.1070/RM1988v043n01ABEH001534
Source: Self-asserted source
Kanat Abdukhalikov
grade
Preferred source (of 2)‎

Characterization of the general Lie algebra of Cartan type by centralizers of nilpotent elements

Vestnik Moskov. Univ. Ser. I Mat. Mekh.
1985 | Journal article
Source: Self-asserted source
Kanat Abdukhalikov

Unimodular Hermitian lattices over Q

Journal article
Source: Self-asserted source
Kanat Abdukhalikov

Peer review (6 reviews for 4 publications/grants)

Review activity for Cryptography and communications. (1)
Review activity for Designs, codes and cryptography. (2)
Review activity for Discrete mathematics. (1)
Review activity for Finite fields and their applications. (2)
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