Qing Xiang

most citedAmorphic association schemes with negative Latin square type graphs

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math.CO2005

Association schemes from the action of $P G L (2, q)$ fixing a nonsingular conic in PG(2,q)

Henk D. L. Hollmann, Qing Xiang

The group $P G L (2, q)$ has an embedding into $P G L (3, q)$ such that it acts as the group fixing a nonsingular conic in $P G (2, q)$ . This action affords a coherent configuration $R (q)$ on…

math.CO2005

Pseudocyclic association schemes arising from the actions of PGL(2,2^m) and PΓL(2,2^m)

Henk D. L. Hollmann, Qing Xiang

The action of $P G L (2, 2^{m})$ on the set of exterior lines to a nonsingular conic in $P G (2, 2^{m})$ affords an association scheme, which was shown to be pseudocyclic in Hollmann's thesis…

math.CO2005

Symmetric Bush-type Hadamard matrices of order $4 m^{4}$ exist for all odd $m$

Mikhail Muzychuk, Qing Xiang

Using reversible Hadamard difference sets, we construct symmetric Bush-type Hadamard matrices of order $4 m^{4}$ for all odd integer $m$ .

math.CO2004★ 1 cited

Amorphic association schemes with negative Latin square type graphs

James A. Davis, Qing Xiang

Applying results from partial difference sets, quadratic forms, and recent results of Brouwer and Van Dam, we construct the first known amorphic association scheme with negative La…

math.CO2004

Recent results on $p$ -ranks and Smith normal forms of some $2 - (v, k, λ)$ designs

Qing Xiang

We survey recent results on $p$ -ranks and Smith normal forms of some $2 - (v, k, λ)$ designs. In particular, we give a description of the recent work in \cite{csx} on the Smith normal…

math.CO2004

A Class of Permutation Polynomials of $\bF_{2^m}$ Related to Dickson Polynomials

Henk D. L. Hollmann, Qing Xiang

We construct a class of permutation polynomials of $\bF_{2^m}$ that are closely related to Dickson polynomials.

Association schemes from the action of PGL(2,q) fixing a nonsingular conic in PG(2,q)

Pseudocyclic association schemes arising from the actions of PGL(2,2^m) and PΓL(2,2^m)

Symmetric Bush-type Hadamard matrices of order 4m4 exist for all odd m

Amorphic association schemes with negative Latin square type graphs

Recent results on p-ranks and Smith normal forms of some 2−(v,k,λ) designs

A Class of Permutation Polynomials of $\bF_{2^m}$ Related to Dickson Polynomials

Association schemes from the action of $P G L (2, q)$ fixing a nonsingular conic in PG(2,q)

Symmetric Bush-type Hadamard matrices of order $4 m^{4}$ exist for all odd $m$

Recent results on $p$ -ranks and Smith normal forms of some $2 - (v, k, λ)$ designs