English

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

Information Theory 2016-11-15 v1 Commutative Algebra math.IT

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.

Keywords

Cite

@article{arxiv.1611.04226,
  title  = {An algebraic framework for end-to-end physical-layer network coding},
  author = {Elisa Gorla and Alberto Ravagnani},
  journal= {arXiv preprint arXiv:1611.04226},
  year   = {2016}
}
R2 v1 2026-06-22T16:50:58.866Z