学术报告《Constructions of Cyclic Constant Dimension Subspace Codes via Sidon Spaces》

发布日期:2022/04/28 点击量:

题目: Constructions of Cyclic Constant Dimension Subspace Codes via Sidon Spaces

主讲人:刘宏伟

时间:2022年05月05日09:00-10:00

地址:腾讯会议ID:231-969-098


摘要:Subspace codes are of great use in noncoherent linear network coding and linear authentication. Cyclic constant subspace codes are a subclass of subspace codes, and they can be encoded and decoded more efficiently. An important research direction is keen to construct cyclic constant dimension subspace codes whose sizes and minimum distances are as large as possible. Recently, Roth, Raviv and Tamo (2017) constructed several cyclic constant dimension subspace codes using Sidon spaces. Niu, Yue and Wu (2020) extended the results above and obtained several new subspace codes. In this talk, we first present a result which can be used to determine whether the sum of some distinct Sidon spaces is a Sidon space. Based on this result, we obtain cyclic constant subspace codes via the sum of several Sidon spaces. Our results generalize some related known results. This talk is based on joint work with Yun LI.


主讲人简介:刘宏伟,现任华中师范大学数学与统计学学院教授,博导,主要从事代数编码的研究和教学工作。现兼任中国工业与应用数学学会第八届理事会理事,中国工业与应用数学学会编码密码及相关组合理论专业委员会委员。 2003年研究生毕业于武汉大学数学系基础数学专业,获理学博士学位。曾先后于武汉重型机床厂职工大学,湖北经济学院从事教学科研工作, 2001年5月至今在华中师范大学工作。工作期间曾作为访问学者、访问教授、高级访问学者先后访问美国,新加坡,中国香港地区高校进行学术研究;先后应邀访问韩国,美国以及国内等高校和研究所参加国际会议,并做邀请报告。主持和参与国家自然科学基金多项,973子项目1项,教育部留学回国人员科研启动基金1项。目前在包括IEEE Trans. Inf. Theory, Designs Codes Cryptogr., Finite Fields Appl., Discrete Math., Sci. China Math., Cryptogr. Commun.等国内外知名期刊发表相关研究论文60余篇。合作编写编著教材、著作4部。



邀请人:胡思煌

审核人:魏普文


联系我们

地址:山东省青岛市即墨区滨海路72号벳 365 코리아青岛校区淦昌苑D座邮编:266237

邮箱:cst@sdu.edu.cn电话:(86)-532-58638601传真:(86)-532-58638633

版权所有 Copyright © 벳 365 코리아 - 신뢰할 수 있는 사이트