Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Fenggao Li"'
Publikováno v:
Finite Fields and Their Applications. 39:43-51
In this paper, we obtain upper bounds of the class dimension of flat association schemes in affine and affine-symplectic spaces and construct resolving sets for these schemes.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb4718ec19938e2daf0f19051680da3b
https://doi.org/10.1016/j.ffa.2016.01.004
https://doi.org/10.1016/j.ffa.2016.01.004
Autor:
Fenggao Li, Jun Guo
Publikováno v:
Linear and Multilinear Algebra. 64:1617-1636
In 1993, Wan obtained Anzahl theorems of subspaces with type in geometry of singular classical groups. As a generalization, we introduce the concept of geometry of t-singular classical groups, and make some new Anzahl theorems of subspaces with type.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca373362dbbc9079aa6646fae812d29c
https://doi.org/10.1080/03081087.2015.1112342
https://doi.org/10.1080/03081087.2015.1112342
Autor:
Jun Guo, Fenggao Li
Publikováno v:
Linear Algebra and its Applications. 474:169-183
Let R denote the Galois ring of characteristic p s and cardinality p s h . In this paper, we determine the Smith normal forms of alternate matrices over R , compute the number of the orbits of n × n alternate matrices under the group GL n ( R ) and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85cbf2de73a71d736fe291e9cfb0600b
https://doi.org/10.1016/j.laa.2015.02.016
https://doi.org/10.1016/j.laa.2015.02.016
Autor:
Fenggao Li, Jun Guo
Publikováno v:
Linear Algebra and its Applications. 465:296-311
Let R denote the Galois ring of characteristic p s and cardinality p s h . In this paper, we determine the Smith normal forms of matrices over R , compute the number of the orbits of m × n matrices under the group GL m ( R ) × GL n ( R ) and the le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1e6a9ea96bc553c96329866df61e894
https://doi.org/10.1016/j.laa.2014.09.036
https://doi.org/10.1016/j.laa.2014.09.036
Autor:
Jun Guo, Fenggao Li
Publikováno v:
Linear Algebra and its Applications. 453:154-173
Let F q 2 ν + δ be one of the ( 2 ν + δ ) -dimensional classical spaces and P be a fixed subspace of type ϑ of F q 2 ν + δ . Let M ( i ; ϑ ; m ; 2 ν + δ ) be the set of all m -dimensional totally isotropic subspaces Q of F q 2 ν + δ satis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f45933f40ee6fef92db3629739118a8a
https://doi.org/10.1016/j.laa.2014.04.014
https://doi.org/10.1016/j.laa.2014.04.014
Publikováno v:
Discrete Mathematics. :42-46
Let d , k , n be integers with 1 ≤ d k ≤ n − d . In Kantor (1972), Kantor proved that the incidence matrix of d -dimensional subspaces versus k -dimensional subspaces of an n -dimensional vector space has full row rank over the real number fiel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::742cc50119733b3c36b5d6c0fcbd22b1
https://doi.org/10.1016/j.disc.2013.10.003
https://doi.org/10.1016/j.disc.2013.10.003
Publikováno v:
advg. 14:129-134
Recently upper bounds on the metric dimension of Grassmann graphs, bilinear forms graphs, doubled Grassmann graphs and twisted Grassmann graphs have been obtained by Bailey, Meagher, Feng and the present authors. In this paper, we continue this resea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2b0c0e9a39098dd89414b8da4cedc93
https://doi.org/10.1515/advgeom-2013-0021
https://doi.org/10.1515/advgeom-2013-0021
Publikováno v:
Communications in Algebra. 42:1711-1717
Let be the 2ν-dimensional symplectic space over a finite field 𝔽 q , and let ℳ be a given nontrivial orbit of subspaces in under the symplectic group Sp 2ν(𝔽 q ). Denote by 𝒫 the set of subspaces which are intersections of subspaces in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd495249aae7f8888ae7741a3c50b676
https://doi.org/10.1080/00927872.2012.748783
https://doi.org/10.1080/00927872.2012.748783
Publikováno v:
Linear Algebra and its Applications. 438:3321-3335
Let F q 2 ν be the 2 ν -dimensional symplectic space over the finite field F q . In this paper, we compute the size of a family of special subspaces in F q 2 ν , and discuss its applications to the constructions of Cartesian authentication codes,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b0f4d1aabafc6cfd1a3e178c9908df2
https://doi.org/10.1016/j.laa.2012.12.008
https://doi.org/10.1016/j.laa.2012.12.008
Publikováno v:
Linear Algebra and its Applications. 438:2651-2660
Meemark and Prinyasart [10] proved by combinatorial method that the symplectic graph Sp p n ( 2 ν ) modulo p n is strongly regular when ν = 1 , and Sp p n ( 2 ν ) is arc transitive when p is an odd prime. In this paper, combining matrix method and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::713fce75a38bcd951a5b9ce0cf8814a3
https://doi.org/10.1016/j.laa.2012.06.026
https://doi.org/10.1016/j.laa.2012.06.026