DocumentCode :
44936
Title :
Extremal Type I 
-Codes and 
-Frames of Odd Unimodular Lattices
Author :
Harada, Masaaki
Author_Institution :
Res. Center for Pure & Appl. Math., Tohoku Univ., Sendai, Japan
Volume :
61
Issue :
1
fYear :
2015
fDate :
Jan. 2015
Firstpage :
72
Lastpage :
81
Abstract :
For some extremal (optimal) odd unimodular lattice L in dimensions 12, 16, 20, 28, 32, 36, 40, and 44, we determine all integers k such that L contains a k-frame. This result yields the existence of an extremal Type I Zk-code of lengths 12, 16, 20, 32, 36, 40, and 44, and a near-extremal Type I Zk-code of length 28 for positive integers k with only a few exceptions.
Keywords :
dual codes; extremal type I Zk-code; odd unimodular lattices k-frame; self-dual code; Educational institutions; Generators; Indexes; Lattices; Upper bound; Vectors; Zinc; Self-dual code; frame; unimodular lattice;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2014.2368563
Filename :
6960045
Link To Document :
