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arXiv · 2606.10871

A New Invariant for Prime Alternating Knots From Error-Correcting Codes

Altan B. Kilic·Ruud Pellikaan·Alberto Ravagnan
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Abstract

This paper shows that the Alexander-Briggs code of a knot gives rise to a new invariant that distinguishes prime alternating knots. The restriction to prime alternating knots precisely follows from the fact that our approach relies on Tait s flyping theorem. We also provide examples where the new invariant succeeds in separating knots that the well known invariants, such as some knot polynomials, fail.

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Altan B. Kilic, Ruud Pellikaan, Alberto Ravagnan. 2026-06-09. A New Invariant for Prime Alternating Knots From Error-Correcting Codes. https://arxiv.org/abs/2606.10871

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