TH1.R7.3

Voronoi Constellations of Generalized Construction D' Lattices from q-ary Codes

Ana Paula S. Pierini, Franciele C. Silva, Sueli I. R. Costa, Universidade Estadual de Campinas, Brazil
Session:
Lattice Codes
Track:
1: Algebraic Aspects of Coding Theory
Location:
VIP
Presentation Time:
Thu, 11 Jul, 10:25 - 10:45
Session Chair:
Brian Kurkoski,
Abstract
In this paper, we present a scheme for obtaining Voronoi constellations of Generalized Construction D' lattice obtained from q-ary codes. For this, we first extend the Generalized Construction D' to a chain of linear q-ary codes, establish a connection with Construction A and derive a generator matrix, expressions for the minimum distance and the volume of this lattice. This connection also allowed to extend an efficient previous scheme for obtaining Voronoi constellations of Construction A to Generalized Construction D' lattices.
Session TH1.R7
TH1.R7.1: On the Existence of Cyclic Lattice Codes
Chengpin Luo, Brian Kurkoski, Japan Advanced Institute of Science and Technology, Japan
TH1.R7.2: On the equivalence between probabilistic shaping and geometric shaping: a polar lattice perspective
Ling Liu, Xidian University, China; Shanxiang Lyu, Jinan University, China; Cong Ling, Imperial College London, United Kingdom; Baoming Bai, Xidian University, China
TH1.R7.3: Voronoi Constellations of Generalized Construction D' Lattices from q-ary Codes
Ana Paula S. Pierini, Franciele C. Silva, Sueli I. R. Costa, Universidade Estadual de Campinas, Brazil
TH1.R7.4: Construction πA lattices extended to Hurwitz quaternion integers
Juliana G F Souza, Sueli I R Costa, University of Campinas, Brazil; Cong Ling, Imperial College London, United Kingdom
Resources
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