TY - JOUR
T1 - A characterization of designs related to an extremal doubly-even self-dual code of length 48
AU - Harada, Masaaki
AU - Munemasa, Akihiro
AU - Tonchev, Vladimir D.
N1 - Funding Information:
∗Research partially supported by NSA Grant MDA904-03-1-0088 and NSF Grant CCR-0310632.
PY - 2005/7
Y1 - 2005/7
N2 - The uniqueness of a binary doubly-even self-dual [48, 24, 12] code is used to prove that a self-orthogonal 5-(48, 12, 8) design, as well as some of its derived and residual designs, including a quasi-symmetric 2-(45, 9, 8) design, are all unique up to isomorphism.
AB - The uniqueness of a binary doubly-even self-dual [48, 24, 12] code is used to prove that a self-orthogonal 5-(48, 12, 8) design, as well as some of its derived and residual designs, including a quasi-symmetric 2-(45, 9, 8) design, are all unique up to isomorphism.
KW - Extremal selfdual code
KW - Quasi-symmetric design
KW - Self-orthogonal code
KW - Self-orthogonal design
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U2 - 10.1007/s00026-005-0250-x
DO - 10.1007/s00026-005-0250-x
M3 - Article
AN - SCOPUS:22544438744
SN - 0218-0006
VL - 9
SP - 189
EP - 198
JO - Annals of Combinatorics
JF - Annals of Combinatorics
IS - 2
ER -