Deterministic Network Model Revisited: An Algebraic Network Coding Approach

Algebraic Approach to Physical-Layer Network Coding

The problem of designing physical-layer network coding (PNC) schemes via nested lattices is considered. Building on the compute-and-forward (C&F) relaying strategy of Nazer and Gastpar, who demonstrated its asymptotic gain using information-theoretic tools, an algebraic approach is taken to show its potential in practical, non-asymptotic, settings. A general framework is developed for studying ...

Beyond Routing: An Algebraic Approach to Network Coding

In this paper we consider the issue of network capacity. The recent work by Li and Yeung examined the network capacity of multicast networks and related capacity to cutsets. Capacity is achieved by coding over a network. We present a new framework for studying networks and their capacity. Our framework, based on algebraic methods, is surprisingly simple and effective. For networks which are res...

Network Coding, Algebraic Coding, and Network Error Correction

This paper discusses the relation between network coding, (classical) algebraic coding, and network error correction. In the first part, we clarify the relation between network coding and algebraic coding. By showing that the Singleton bound in algebraic coding theory is a special case of the Maxflow Min-cut bound in network coding theory, we formally establish that linear multicast and its str...

An algebraic watchdog for wireless network coding Citation

In this paper, we propose a scheme, called the algebraic watchdog for wireless network coding, in which nodes can detect malicious behaviors probabilistically, police their downstream neighbors locally using overheard messages, and, thus, provide a secure global self-checking network. Unlike traditional Byzantine detection protocols which are receiver-based, this protocol gives the senders an a...

Network Coding - an Introduction