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arXiv · 2101.00642

Symmetry Implies Isomorphism for Certain Maximum Length Circuit Codes

Kevin M. Byrnes
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Abstract

A classic result due to Douglas establishes that, for odd spread $k$ and dimension $d=\frac{1}{2}(3k+3)$, 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 $\ge 4$ and $d=\frac{1}{2}(3k+4)$, all maximum length symmetric $(d,k)$ circuit codes are isomorphic.

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Kevin M. Byrnes. 2021-01-03. Symmetry Implies Isomorphism for Certain Maximum Length Circuit Codes. https://arxiv.org/abs/2101.00642

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