Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Zhe-xian Wan"'
This is the proceedings of the ICM2002 Satellite Conference on Algebras. Over 175 participants attended the meeting. The opening ceremony included an address by R Gonchidorazh, former vice-president of the Mongolian Republic in Ulaanbaatar. The topic
Publikováno v:
Linear Algebra and its Applications. 507:251-266
The subconstituents of the (singular) orthogonal graphs over finite fields of characteristic 2 are studied. After considering the actions of the orthogonal group on the graphs, their parameters are calculated. We show that the first subconstituent is
Publikováno v:
Linear and Multilinear Algebra. 64:1833-1852
In the paper, the automorphism group of the first subconstituent of the unitary graph , when over a finite field has been determined. Moreover, we have , where is the stabilizer group of the group of automorphisms of unitary graphs fixing .
Publikováno v:
Linear Algebra and its Applications. 439:2861-2877
The subconstituents of the orthogonal graph O ( 2 ν + δ , q ) , where ν ⩾ 2 and δ ∈ { 1 , 2 } , over a finite field of odd characteristic are shown to be quasi-strongly regular. Furthermore, the first subconstituent is shown to be co-edge reg
Autor:
Zhe-Xian Wan1 wan@smss.ac.cn, Kai Zhou1 kzhou@amss.ac.cn
Publikováno v:
Annals of Combinatorics. Sep2010, Vol. 14 Issue 3, p367-395. 29p.
Publikováno v:
Linear and Multilinear Algebra. 62:925-937
The subconstituents of the isotropic unitary graphs over finite fields are shown to be quasi-strongly regular. In addition, the first subconstituent is shown to be co-edge regular and the second subconstituent is shown to be edge regular. The automor
Autor:
Zhe-Xian Wan, Kai Zhou
Publikováno v:
IEEE Transactions on Information Theory. 56:1719-1728
The synthesis problem of multisequences of elements of a field F is studied. A new way of approximation by rational functions to multisequences is introduced. Different from the usual approach by optimal rational approximant profile, in the proposed
Autor:
Zhe-Xian Wan, Kai Zhou
Publikováno v:
Science in China Series A: Mathematics. 52:361-380
The (singular) orthogonal graph O(2ν + δ, q) over a field with q elements and of characteristic 2 (where ν ⩾ 1, and δ = 0, 1 or 2) is introduced. When ν = 1, O(2 · 1, q), O(2 · 1 + 1, q) and O(2 · 1 + 2, q) are complete graphs with 2, q + 1
Autor:
Zhe-Xian Wan, Zhenhua Gu
Publikováno v:
Finite Fields and Their Applications. 14(2):291-313
The (isotropic) orthogonal graph O(2@n+@d,q) over F"q of odd characteristic, where @n>=1 and @d=0,1 or 2 is introduced. When @n=1, O(2@?1+@d,q) is a complete graph. When @n>=2, O(2@n+@d,q) is strongly regular and its parameters are computed, as well
Autor:
Zhe-Xian Wan, Kai Zhou
Publikováno v:
Finite Fields and Their Applications. 13(2):411-417
The complexity of the dual of a type I optimal normal basis of Fqn over Fq is computed to be either 3n−3 or 3n−2 according as q is even or odd, respectively. A partial converse of this result is also obtained.