Zobrazeno 1 - 10 of 63 pro vyhledávání: '"Bangteng Xu"'
4
On association schemes with multiplicities 1 or 2
Autor: Bangteng Xu, Mikhail Muzychuk
Publikováno v: Journal of Algebra. 585:89-116
Inspired by the work of Amitsur [1] on finite groups whose irreducible characters all have degree (multiplicity) 1 or 2, in this paper we study association schemes whose irreducible characters all have multiplicity 1 or 2. We will first show that the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8a6b37742f9b277dad7fa46601b4aca4
https://doi.org/10.1016/j.jalgebra.2021.06.004
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5
Fourier transforms on finite group actions and bent functions
Autor: Yun Fan, Bangteng Xu
Publikováno v: Journal of Algebraic Combinatorics. 55:429-460
Highly nonlinear functions (bent functions, perfect nonlinear functions, etc.) on finite fields and finite (abelian or nonabelian) groups have been studied in numerous papers. As a generalization of bent functions on finite groups, bent functions on
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6bd5237234d55685448e966502f2c921
https://doi.org/10.1007/s10801-021-01057-3
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6
Wedge-direct sums of group algebras of finite groups
Autor: Bangteng Xu
Publikováno v: Communications in Algebra. 49:2890-2900
The wedge-direct sum of a sequence of semisimple algebras (over an arbitrary field) was introduced in [Xu, B. (2019). Wedge-direct sums of table algebras and applications to association schemes, I....
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::483993b8d431862ccc5a080e0f913ca3
https://doi.org/10.1080/00927872.2021.1883639
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8
Schurity of association schemes whose thin residues are elementary abelian p-groups of rank 2
Autor: Gang Chen, Bangteng Xu
Publikováno v: Journal of Algebraic Combinatorics. 53:435-454
The schurity of association schemes has been studied in many papers. One of the major topics is to investigate the schurity of those association schemes whose thin residues are thin. A difficult case is that the thin residue is an elementary abelian
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::19652b3debea9eec4d629c4a1f7ec74d
https://doi.org/10.1007/s10801-020-01000-y
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9
On structures of quasi-thin table algebras and applications to association schemes
Autor: Bangteng Xu, Mikhail Muzychuk
Publikováno v: Journal of Algebra. 560:343-370
In this paper we develop a structure theory for a class of table algebras, i.e. the so-called quasi-thin table algebras. They are direct generalizations of quasi-thin association schemes. Although this class of table algebras is rather close to finit
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0b3f6c688dbc388a22bdd3c9dd1993b3
https://doi.org/10.1016/j.jalgebra.2020.05.022
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10
Absolute Maximum Nonlinear Functions on Finite Nonabelian Groups
Autor: Bangteng Xu
Publikováno v: IEEE Transactions on Information Theory. 66:5167-5181
Highly nonlinear functions (perfect nonlinear, maximum nonlinear, etc.) between finite fields have been studied in numerous papers. These concepts have been generalized first to finite abelian groups and then to finite nonabelian groups. In 2011, Poi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a73d6c5b741c1a4fe1be9f12b279e673
https://doi.org/10.1109/tit.2020.2987794
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