1 citations · 1 across the 9 of their papers we have counts for
9 papers
Supersaturation for Eventown via Generator Switching
Zicheng Han, Xiande Zhang, Yuhao Zhao
An eventown family is a family of even-sized subsets of in which every two distinct members have an even-sized intersection. A classical theorem of Berlekamp and Graver shows…
Bounds and constructions for constant/low-power error-correcting cooling codes
Shuangqing Liu, Tingting Tong, Menglong Zhang +2
The low-power error-correcting cooling (LPECC) codes and constant-power error-correcting cooling (CPECC) codes, introduced in [IEEE Trans. Inf. Theory, 64 (2018), 3062--3085; 66 (2…
A superlogarithmic saving for Oddtown modulo composite numbers
Yuhao Zhao
Let be the largest size of a family such that no member has size divisible by , while the intersection of every two distinct membe…
Lower bounds on the strength of the determinant
Qiyuan Chen, Yuhao Zhao
We establish new lower bounds for the strength and partition rank of the determinant. For every prime , we prove the exact identity \[ \operatorname{str}(\mathrm{det}_p)=p. \] A…
Counting cliques with prescribed intersection sizes
Yuhao Zhao, Xiande Zhang
We study the generalized Turán problem regarding cliques with restricted intersections, which highlights the motivation from extremal set theory. Let $L=\{\ell_1,\dots,\ell_s\}\sub…
On low-power error-correcting cooling codes with large distances
Yuhao Zhao, Xiande Zhang
A low-power error-correcting cooling (LPECC) code was introduced as a coding scheme for communication over a bus by Chee et al. to control the peak temperature, the average power c…
Focal-free uniform hypergraphs and codes
Xinqi Huang, Chong Shangguan, Xiande Zhang +1
Motivated by the study of a variant of sunflowers, Alon and Holzman recently introduced focal-free hypergraphs. In this paper, we show that there is an interesting connection betwe…
Improved upper bounds for wide-sense frameproof codes
Yuhao Zhao, Xiande Zhang
Frameproof codes have been extensively studied for many years due to their application in copyright protection and their connection to extremal set theory. In this paper, we invest…
On supersaturation for oddtown and eventown
Xin Wei, Yuhao Zhao, Xiande Zhang +1
We study the supersaturation problems of oddtown and eventown. Given a family of subsets of an element set, let denote the number of distinct pair…