Combinatorics, Finite Geometry, Algebraic Coding Theory

Selected Publications

1. R. Evans, H. D. L. Hollmann, C. Krattenthaler, Q. Xiang, Gauss sums, Jacobi sums and p-ranks of cyclic difference sets, J. Combin. Theory (A) 87 (1999), 74–119.

2. H. D. L. Hollmann, Q. Xiang, A proof of the Welch and Niho conjectures on cross-correlations of binary m-sequences, Finite Fields Appl. 7 (2001), 253–286.

3. X. D. Hou, K. H. Leung, Q. Xiang, A generalization of an addition theorem of Kneser, J. Number Theory 97 (2002), 1–9.

4. M. Muzychuk and Q. Xiang, Symmetric Bush-type Hadamard matrices of order 4m^4 exist for all odd m, Proceedings AMS 134 (2006), 2197–2204.

5. D. B. Chandler, P. Sin, Q. Xiang, The invariant factors of the incidence matrices of points and subspaces in PG(n,q) and AG(n,q), Trans. Amer. Math. Soc. 358 (2006), 4935–4957.

6. D. B. Chandler, P. Sin, Q. Xiang, The permutation action of finite symplectic groups of odd characteristic on their standard modules, J. Algebra 318 (2007), 871–892.

7. T. Feng, Q. Xiang, Cyclotomic constructions of skew Hadamard difference sets, J. Combin. Theory (A) 119 (2012), 245–256.

8. T. Feng, Q. Xiang, Strongly regular graphs from unions of cyclotomic classes, J. Combin. Theory (B) 102 (2012), 982–995.

9. J. Bamberg, M. Lee, K. Momihara, Q. Xiang, A new infinite family of hemisystems of the Hermitian surface, Combinatorica 38 (2018), 43–66.

10. P. Sin, J. Sorci, Q. Xiang, Linear representations of finite geometries and associated LDPC codes, J. Combin. Theory (A) 173 (2020), Paper No. 105238, 15pp.

11. B. Schmidt, D. Q. Wong, Q. Xiang, Constructions of Butson Hadamard matrices invariant under Abelian p-groups, J. Combin. Theory (A) 181 (2021), Paper No. 105433, 23pp.

12. T. Feng, K. Momihara, M. Rodgers, Q. Xiang, H. Zou, Cameron-Liebler line classes with parameter x=(q+1)^2/3, Adv. Math.  385 (2021), Paper No. 107780, 31 pp.