Maosheng Xiong

Construction of Unit-Memory MDS Convolutional Codes

2015 · arXiv (Cornell University)

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 …

Decoding error probability in the erasure channel and the $\boldsymbol~r$-th support weight distribution

2021 · Scientia Sinica Mathematica

Inspired by a recent work of Shen and Fu (2019), we study the decoding error probability of linear codes over the erasure channel under three decoding principles. We first simplify the explicit formulas obtained by …