Diffusion-limited aggregation (DLA) is a cluster-growth model that consists of set particles are sequentially aggregated over two-dimensional grid. In this paper, we introduce biased version the DLA model, in which limited to moving subset possible directions. We denote by $k$-DLA where move only $k$ study from perspective computational complexity, defining two decision problems. The first prob...

Revolving codes (ReC) are a new family of network that reduce signaling overhead and maintain high decoding probability, which is key in applications with small payloads, e.g., IoT, Industry 4.0. However, they have only been studied using simulations. We present i) the first exact mathematical model for total probability set ReCs, ii) efficient encoders decoders. Our analysis shows ReC decoders...