TY - JOUR
T1 - Shadow codes over ℤ4
AU - Dougherty, Steven T.
AU - Harada, Masaaki
AU - Solé, Patrick
PY - 2001
Y1 - 2001
N2 - The notion of a shadow of a self-dual binary code is generalized to self-dual codes over ℤ4. A Gleason formula for the symmetrized weight enumerator of the shadow of a Type I code is derived. Congruence properties of the weights follow; this yields constructions of self-dual codes of larger lengths. Weight enumerators and the highest minimum Lee, Hamming, and Euclidean weights of Type I codes of length up to 24 are studied.
AB - The notion of a shadow of a self-dual binary code is generalized to self-dual codes over ℤ4. A Gleason formula for the symmetrized weight enumerator of the shadow of a Type I code is derived. Congruence properties of the weights follow; this yields constructions of self-dual codes of larger lengths. Weight enumerators and the highest minimum Lee, Hamming, and Euclidean weights of Type I codes of length up to 24 are studied.
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U2 - 10.1006/ffta.2000.0312
DO - 10.1006/ffta.2000.0312
M3 - Article
AN - SCOPUS:0035668945
SN - 1071-5797
VL - 7
SP - 507
EP - 529
JO - Finite Fields and Their Applications
JF - Finite Fields and Their Applications
IS - 4
ER -