TY - JOUR
T1 - Type II Self-Dual Codes over Finite Rings and even Unimodular Lattices
AU - Dougherty, Steven T.
AU - Gulliver, T. Aaron
AU - Harada, Masaaki
N1 - Funding Information:
The authors would like to thank Eiichi Bannai, Akihiro Munemasa and Takashi Tasaka for helpful comments. This work was supported in part by a grant from the Japan Society for the Promotion of Science.
PY - 1999
Y1 - 1999
N2 - In this paper, we investigate self-dual codes over finite rings, specifically the ring ℤ2m of integers modulo 2m. Type II codes over ℤ2m are introduced as self-dual codes with Euclidean weights which are a multiple of 2m+1. We describe a relationship between Type II codes and even unimodular lattices. This relationship provides much information on Type II codes. Double circulant Type II codes over ℤ2m are also studied.
AB - In this paper, we investigate self-dual codes over finite rings, specifically the ring ℤ2m of integers modulo 2m. Type II codes over ℤ2m are introduced as self-dual codes with Euclidean weights which are a multiple of 2m+1. We describe a relationship between Type II codes and even unimodular lattices. This relationship provides much information on Type II codes. Double circulant Type II codes over ℤ2m are also studied.
KW - Double circulant code
KW - Even unimodular lattice
KW - Self-dual code over finite ring
KW - Type ii code
UR - http://www.scopus.com/inward/record.url?scp=0038387260&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0038387260&partnerID=8YFLogxK
U2 - 10.1023/A:1018696102510
DO - 10.1023/A:1018696102510
M3 - Article
AN - SCOPUS:0038387260
SN - 0925-9899
VL - 9
SP - 233
EP - 250
JO - Journal of Algebraic Combinatorics
JF - Journal of Algebraic Combinatorics
IS - 3
ER -