報(bào)告題目：On the Weights of Linear Codes with Prescribed Automorphisms
報(bào)告時(shí)間：2024年4月17日上午10:00-11:00
報(bào)告地點(diǎn)：kaiyun開(kāi)云官方網(wǎng)站犀浦校區(qū)7教7510
報(bào)告人：羅高駿
摘要： The number of nonzero weights of a linear code is essential in coding theory as it unveils salient properties of the code, such as its covering radius. In this paper, we establish two upper bounds on the number of nonzero weights of a linear code with prescribed automorphism. Our bounds are applicable for almost all linear codes and tighter than previously known bounds. Examples confirm that our bounds are sharp on numerous occasions. In addition, we give an infinite family of linear codes that attain our bounds with equality.
報(bào)告人簡(jiǎn)介：羅高駿，南京航空航天大學(xué)，副研究員。2019年博士畢業(yè)于南京航空航天大學(xué)，導(dǎo)師曹喜望教授。2021年至2024年于新加坡南洋理工大學(xué)從事博士后研究工作，合作導(dǎo)師Ling San教授。主要研究方向?yàn)榇鷶?shù)編碼理論、序列設(shè)計(jì)與量子信息。近五年，以第一/通訊作者發(fā)表SCI檢索論文20余篇，包括IEEE Trans系列10篇。曾獲得江蘇省科學(xué)技術(shù)獎(jiǎng)。2022年至今，擔(dān)任期刊COAM（《Computational and Applied Mathematics》）的 Associate Editor。曾應(yīng)邀訪問(wèn)土耳其Sabanci大學(xué)，韓國(guó)慶北國(guó)立大學(xué)。
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