An algebraic framework for end-to-end physical-layer network coding

2016/11/14 by Gorla, Elisa, Ravagnani, Alberto
#Commutative Algebra (math.AC) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1611.04226

Abstract

We propose an algebraic setup for end-to-end physical-layer network coding based on submodule transmission. We introduce a distance function between modules, describe how it relates to information loss and errors, and show how to compute it. Then we propose a definition of submodule error-correcting code, and investigate bounds and constructions for such codes.

Related

• Algebraic Approach to Physical-Layer Network Coding
• Network Coding Implementation Details: A Guidance Document
• End-to-End Algebraic Network Coding for Wireless TCP/IP Networks
• Decoding Network Codes by Message Passing
• End-to-End Error-Correcting Codes on Networks with Worst-Case Symbol Errors