List decoding may be translated into a bivariate interpolation problem. The interpolation problem is to find a bivariate polynomial of minimal weighted degree that interpolates a given set of pairs taken from a finite field. We present a behavioral approach to this interpolation problem. With the data points we associate a set of trajectories. For this set of trajectories we construct the Most ...

To improve the effect of regional financial and economic data processing, this study combines distributed decoding technology to construct processing system. Furthermore, technical characteristics cooperative communication unitary space-time codes design a non-differential code based on cyclic matrix groups. In addition, uses particularity trigonometric functions functions. Finally, according f...

A code C ⊆ Fn 2 is a (c, ǫ, δ)-expander code if it has a Tanner graph, where every variable node has degree c, and every subset of variable nodes L0 such that |L0| ≤ δn has at least ǫc|L0| neighbors. Feldman et al. (IEEE IT, 2007) proved that LP decoding corrects 3ǫ−2 2ǫ−1 · (δn − 1) errors of (c, ǫ, δ)expander code, where ǫ > 2 3 + 1 3c . In this paper, we provide a simpler proof of their resu...

The automotive industry is facing an unprecedented technological transformation towards fully autonomous vehicles. Optimists predict that, by 2030, cars will be sufficiently reliable, affordable, and common to displace most current human driving tasks. To cope with these trends, vehicles require reliable perception systems hear see all the surroundings, being light detection ranging (LiDAR) sen...

This paper considers a framework where data from correlated sources are transmitted with help of network coding in ad hoc network topologies. The correlated data are encoded independently at sensors and network coding is employed in the network nodes for improved data delivery performance. In such settings, we focus on the problem of reconstructing the sources at decoder when perfect decoding i...