Researcher profile
Adam Michael Roberts
2 papers in the PaperMetrix corpus
Publications
Papers by this author
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New binary self-dual codes of lengths 56, 62, 78, 92 and 94 from a bordered construction
2021 · arXiv (Cornell University)
In this paper, we present a new bordered construction for self-dual codes which employs $\lambda$-circulant matrices. We give the necessary conditions for our construction to produce self-dual codes over a finite commutative Frobenius ring of …
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Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions
2021 · arXiv (Cornell University)
In this work, we give three new techniques for constructing Hermitian self-dual codes over commutative Frobenius rings with a non-trivial involutory automorphism using $λ$-circulant matrices. The new constructions are derived as modifications of various well-known …