报告题目：Binary and ternary leading-systematic LCD codes from special functions

报告专家：衡子灵 长安大学 教授

报告时间：2024年11月13日（周三）下午19:30-21:00

报告地点：腾讯会议 会议ID：300 438 452

报告摘要：Linear complementary dual codes (LCD codes for short) are an important subclass of linear codes which have nice applications in communication systems, cryptography, consumer electronics and information protection. In the literature, it has been proved that an [n, k, d] Euclidean LCD code over Fq with q > 3 exists if there is an [n, k, d] linear code over Fq, where q is a prime power. However, the existence of binary and ternary Euclidean LCD codes has not been totally characterized. Hence it is interesting to construct binary and ternary Euclidean LCD codes with new parameters. In this talk, we construct new families of binary and ternary leading-systematic Euclidean LCD codes from some special functions including semibent functions, quadratic functions, almost bent functions, and planar functions. These LCD codes are not constructed directly from such functions, but come from some self-orthogonal codes constructed with such functions. Compared with known binary and ternary LCD codes, the LCD codes in this talk have new parameters.

专家简介：衡子灵，长安大学教授。2017年博士毕业于南京航空航天大学基础数学专业，师从岳勤教授；2017年7月-2018年7月在香港科技大学从事博士后研究工作，合作导师为丁存生教授；2018年7月至今在长安大学工作。主要研究代数编码和序列设计，在《Journal of Algebra》、《IEEE Transactions On Information Theory》、《Designs, Codes and Cryptography》等期刊上发表SCI论文40多篇。主持两项国家级科研项目和多项省级项目。入选陕西省特支计划青年拔尖人才、陕西省科协青年人才托举计划、长安大学长安学者青年学术骨干。