Symmetry Implies Isomorphism for Certain Maximum Length Circuit Codes

01/03/2021

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by   Kevin M. Byrnes, et al.

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A classic result due to Douglas establishes that, for odd spread k and dimension d=1/2(3k+3), all maximum length (d,k) circuit codes are isomorphic. Using a recent result of Byrnes we extend Douglas's theorem to prove that, for k even ≥ 4 and d=1/2(3k+4), all maximum length symmetric (d,k) circuit codes are isomorphic.