题目：ANALYSIS OF ROTH-LEMPEL CODES
摘要：Near maximum distance separable (NMDS) codes have been widely used in various fields such as communication systems, data storage, and quantum codes due to their algebraic properties and excellent error-correcting capabilities. This report focuses on Roth-Lempel codes and establishes necessary and sufficient conditions for them to be NMDS and further completely determine its weight distributions . Besides, we illustrate the linearly inequivalence of Roth-Lempel codes and NMDS codes of elliptic curve type when their corresponding length exceed4(q+2q+1)5. Finally, we show that some special linear codes of elliptic-curve type are not equivalent to Roth-Lempel code C by Schur product.
个人简介：周海燕，南京师范大学数学科学学院教授、博士生导师、副院长，曾任国家自然科学基金委数理学部数学处流动项目主任。研究领域为代数数论以及在信息安全中的应用，已发表论文三十余篇，主持和参加国家自然科学基金项目5项。曾在美国加州大学欧文分校、加拿大麦克马斯特大学、英国剑桥大学、印度ICTS和意大利ICTP进行学术访问。
报告时间：12月23日上午11:10-12:00
报告地点：西南交通大学犀浦校区7510
