【廿周年院庆学术报告107】· 【和山数学论坛第387期】
一、报告题目：
DNA storage: Balanced set codes with small discrepancy
二、报告人：余文俊博士
三、时间：2023年11月9日(周四) 上午9:00-10:30
四、地点：闻理楼A4-309
报告摘要：Motivated by emerging applications in coding for molecular data storage, much attention has been paid to the intersecting set discrepancy problem, which aims to design a large family of subsets of a common labeled ground set with bounded pairwise intersection and bounded set discrepancy. In this talk, we study the maximum size of such families of $k$-subsets with $v$ elements ground set, $t$-bounded intersections, and zero or one discrepancy, called as balanced $(t,k,v)$ set codes. We constructed optimal balanced $(t,k,v)$ set codes for $(t,k) = (2,3),(2,4),(3,4)$, and proven that there exists asymptotically optimal balanced $(t,k,v)$ set codes for any fixed integers $2 \leq t < k$.
报告人简介：余文俊，博士，现为以色列本古里安大学在读博士后，2021-2023年担任华为研究所高级工程师从事分布式存储系统的研究。主要从事组合数学和编码理论方面的研究，主要研究领域为DNA存储系统的纠错码、测序问题，分布式存储等编码理论以及Bollobas集合系，极值图论等组合数学问题及其在存储系统的应用。在国际组合数学及信息学领域内顶尖刊物《IEEE Transactions on Information Theory》（CCF A类期刊）, 《Journal of Combinatorial Theory, Series A》,《European Journal of Combinatorics》上共发表论文4篇。
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