New binary self-dual codes of lengths 56, 62, 78, 92 and 94 from a bordered construction

08/20/2021

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by   Joe Gildea, et al.

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In this paper, we present a new bordered construction for self-dual codes which employs λ-circulant matrices. We give the necessary conditions for our construction to produce self-dual codes over a finite commutative Frobenius ring of characteristic 2. Moreover, using our bordered construction together with the well-known building-up and neighbour methods, we construct many binary self-dual codes of lengths 56, 62, 78, 92 and 94 with parameters in their weight enumerators that were not known in the literature before.