報(bào)告題目:Construction of Unit-Memory MDS Convolutional Codes
報(bào)告人:Prof. Maosheng Xiong (Department of Mathematics, The Hong Kong University of Science and Technology)
報(bào)告時(shí)間:2015年11月18日(周五)下午14:30-15:30
報(bào)告地點(diǎn):X2511 (kaiyun開云官方網(wǎng)站學(xué)術(shù)報(bào)告廳)
報(bào)告摘要:
Abstract:
Maximum-distance separable (MDS) convolutional codes form an optimal family of convolutional codes, the study of which is of great importance. There are very few general algebraic constructions of MDS convolutional codes. In this talk, we construct a large family of unit-memory MDS convolutional codes over $\F_q$ with flexible parameters. Compared with previous works, the field size $q$ required to define these codes is much smaller. The construction also leads to many new strongly-MDS convolutional codes, an important subclass of MDS convolutional codes which was proposed and studied in 2006. We will present many examples at the end.