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- Yuanji Huo, Zhe-Xian Wan
- 2001

Let n q be the n-dimensional vector space over the finite field q and let Gn be one of the classical groups of degree n over q. Let be any orbit of subspaces under Gn. Denote by the set of subspaces which are intersections of subspaces in and assume the intersection of the empty set of subspaces of n q is n q itself. By ordering by ordinary or reverse… (More)

- Zhe-Xian Wan, Kai Zhou
- Finite Fields and Their Applications
- 2007

Let D be a division ring and let m,n be integers ≥ 2. Let Mm×n(D) be the space of m × n matrices. In the fundamental theorem of the geometry of rectangular matrices all bijective mappings φ of Mm×n(D) are determined such that both φ and φ−1 preserve adjacency. We show that if a bijective map φ of Mm×n(D) preserves the adjacency then also φ −1 preserves the… (More)

- Zhenhua Gu, Zhe-Xian Wan
- Finite Fields and Their Applications
- 2008

The (isotropic) orthogonal graph O(2ν + δ, q) over Fq of odd characteristic, where ν 1 and δ = 0,1 or 2 is introduced. When ν = 1, O(2 · 1 + δ, q) is a complete graph. When ν 2, O(2ν + δ, q) is strongly regular and its parameters are computed, as well as its chromatic number. The automorphism groups of orthogonal graphs are also determined. © 2006 Elsevier… (More)

- Zhe-Xian Wan, Kai Zhou
- IEEE Transactions on Information Theory
- 2010

The synthesis problem of multisequences of elements of a field <i>F</i> 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 strict optimal rational approximant of a multisequence, the components of the optimal rational… (More)

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