TY - GEN
T1 - Lattices from Codes for Harnessing Interference
AU - Huang, Yu-Chih
AU - Narayanan, Krishna R.
PY - 2014
Y1 - 2014
N2 - 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 pi(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 pi(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.
AB - 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 pi(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 pi(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.
KW - PACKINGS
M3 - Conference contribution
T3 - Information Theory Workshop
SP - 10
EP - 14
BT - 2014 IEEE INFORMATION THEORY WORKSHOP (ITW)
PB - IEEE
Y2 - 2 November 2014 through 5 November 2014
ER -