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A computational approach to using plug-in arrays, circulant matrices, and negacirculant matrices in the construction and enumeration of extremal and near-extremal self-dual ternary codes. Isomorphism classes of such codes obtainable from orthogonal designs of dimensions 2, 4, and 8 are completely enumerated for several lengths. Additionally, partial searches are conducted for larger lengths, and weight enumerators are derived for near-extremal codes.
Thomas Pender (Mon,) studied this question.