22 papers
The 196560 auxiliary-function conjecture for the Leech lattice
Yutong Zhang, Yaoran Yang
Cohn and Kumar conjectured in 2009 that there is a radial Schwartz function satisfying for , for , $g(2)…
Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci
Yutong Zhang, Yaoran Yang
Let $\cX\subseteq\Pj^n_{\Z}$ be a fixed integral quasiprojective subscheme, smooth over of relative dimension . For each fixed , we bound the probability that the $m…
Counterexamples to Charpin's Conjecture on BCH codes
Run Zheng, Yaoran Yang, Yutong Zhang +1
Determining the exact minimum distance of BCH codes is a longstanding and challenging problem. In this paper, we construct an infinite family of primitive narrow-sense BCH codes wh…
Exact Minimum Distance of the Ding--Li--Xia Cyclic Codes
Yutong Zhang, Yaoran Yang
The cyclic codes introduced by Ding, Li, and Xia form a nonbinary generalization of punctured binary Reed--Muller codes. Ding, Li, and Xia established the bounds $(q^…
Hyperplane anti-Bertini embeddings over finite fields
Yutong Zhang, Yaoran Yang
Baker asked, as recorded by Poonen, whether a fixed smooth quasiprojective variety over a finite field must have a smooth rational hyperplane section after every sufficiently high-…
A Proof of a Conjecture of Zhi-Wei Sun on a Truncated Legendre-Symbol Determinant
Yaoran Yang, Gaishi Yang, Yutong Zhang
We prove Conjecture~3.4 of Zhi-Wei Sun by evaluating, for every prime , a truncated Legendre-symbol determinant as . The argument reduce…