2015/11/23 by Chin Hei Chan, Chan, Chin Hei, Maosheng Xiong +1
Computer Science · Mathematics · #94B10 #Cellular Automata and Applications #Coding theory and cryptography #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT #msc:94B10
paper · pdf · doi:10.48550/arxiv.1511.07233
arxiv created 2015/11/23 · openalex publication_date 2015/11/23 · arxiv updated 2015/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 paper, we construct a large family of unit-memory MDS convolutional codes over \F 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 proposed and studied in \citeGL2. Many examples are presented at the end of the paper.