We present a new class of asymptotically good, linear error-correcting codes. These codes can be both encoded and decoded in linear time. They can also be encoded by logarithmic-d...
Geometric transformations are most commonly represented as square matrices in computer graphics. Following simple geometric arguments we derive a natural and geometrically meaning...
We construct families of three-dimensional linear codes that attain the Griesmer bound and give a probablistic construction of linear codes that are close to the Griesmer bound. Al...
— We design a coding scheme for Costa’s dirty paper coding (DPC) [6] using a channel and a shaping code. We show that by transforming the channel noise distribution the DPC cha...
Abstract-- This paper addresses the issue of design of lowrate sparse-graph codes with linear minimum distance in the blocklength. First, we define a necessary condition which need...