Lattices from Codes for Harnessing Interference: An Overview and Generalizations Conference Paper

abstract

• 2014 IEEE. In this paper, using compute-and-forward as an example, we provide an overview of constructions of lattices from codes that possess the right algebraic structures for harnessing interference. This includes Construction A, Construction D, and Construction A (previously called product construction) recently proposed by the authors. While most of the results in this paper have been available in the literature, we discuss two generalizations where the first one is a general construction of lattices named Construction D subsuming the above three constructions as special cases and the second one is to go beyond principal ideal domains and build lattices over algebraic integers.

name of conference

• 2014 IEEE Information Theory Workshop (ITW 2014)

authors

• Narayanan, Krishna

published proceedings

• 2014 IEEE INFORMATION THEORY WORKSHOP (ITW)

author list (cited authors)

• Huang, Y., & Narayanan, K. R.

citation count

• 7

complete list of authors

• Huang, Yu-Chih||Narayanan, Krishna R

publication date

• November 2014

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• 2017 IEEE INFORMATION THEORY WORKSHOP (ITW)  Journal

Digital Object Identifier (DOI)

• 10.1109/itw.2014.6970782

International Standard Book Number (ISBN) 13

• 9781479959990

start page

• 10

end page

• 14

URL

• http://dx.doi.org/10.1109/itw.2014.6970782