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- Guobiao Weng, Weisheng Qiu, Zeying Wang, Qing Xiang
- Des. Codes Cryptography
- 2007

Let (K,+, ∗) be an odd order presemifield with commutative multiplication. We show that the set of nonzero squares of (K, ∗) is a skewHadamard difference set or a Paley type partial difference set in (K,+) according as q is congruent to 3modulo 4 or q is congruent to 1 modulo 4. Applying this result to the Coulter–Matthews presemifield and the Ding–Yuan… (More)

- Guobiao Weng, Rongquan Feng, Weisheng Qiu
- Finite Fields and Their Applications
- 2007

- Xiwang Cao, Weisheng Qiu
- IEEE Signal Process. Lett.
- 2004

- Xiwang Cao, Weisheng Qiu, Cuie Tang
- 2003

Very recently, J.F.Dillon, and H.Dobbertin proved that, the image set of function ∆k(x) = (x + 1) + x + 1, (where d = 2 − 2 + 1), is a new cyclic difference set in the additive group of the finite field GF (2). Using Fourier analysis on the additive group, we prove that certain sets, constructed by using Dickson polynomials, form a new cyclic difference… (More)

- Weisheng Qiu
- Discrete Mathematics
- 1995

We show that a Lipschitz domain can be expanded solely near a part of its boundary, assuming that the part is enclosed by a piecewise C curve. The expanded domain as well as the extended part are both Lipschitz. We apply this result to prove a regular decomposition of standard vector Sobolev spaces with vanishing traces only on part of the boundary. Another… (More)

- Tao Feng, Weisheng Qiu
- Ars Comb.
- 2009

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