Title :
Codes and lattices in the lp metric
Author :
Costa, S.I.R. ; Campello, Antonio ; Jorge, Grasiele C. ; Strapasson, Joao E. ; Qureshi, Claudio
Author_Institution :
Inst. of Math., Univ. of Campinas, Campinas, Brazil
Abstract :
Codes and associated lattices are studied in the lp metric, particularly in the l1 (Lee) and the l∞ (maximum) distances. Discussions and results on decoding processes, classification and analysis of perfect or dense codes in these metrics are presented.
Keywords :
decoding; lattice theory; linear codes; Lee metric; associated lattices; decoding; dense codes; lp metric; perfect codes; Decoding; Educational institutions; Generators; Lattices; Measurement; Vectors; Zinc; Codes and lattices; Lee metric; lp metric; perfect codes;
Conference_Titel :
Information Theory and Applications Workshop (ITA), 2014
Conference_Location :
San Diego, CA
DOI :
10.1109/ITA.2014.6804217