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cs.IT2026
A New Invariant for Prime Alternating Knots From Error-Correcting Codes
Altan B. Kilic, Ruud Pellikaan, Alberto Ravagnan
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 preci…
cs.IT2024
Knot Theory and Error-Correcting Codes
Altan B. Kilic, Anne Nijsten, Ruud Pellikaan +1
This paper builds a novel bridge between algebraic coding theory and mathematical knot theory, with applications in both directions. We give methods to construct error-correcting c…