Treffer: Knot theory and error-correcting codes.

Title:
Knot theory and error-correcting codes.
Source:
Designs, Codes & Cryptography; Aug2025, Vol. 93 Issue 8, p3029-3068, 40p
Database:
Complementary Index

Weitere Informationen

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 codes starting from the colorings of a knot, describing through a series of results how the properties of the knot translate into code parameters. We show that knots can be used to obtain error-correcting codes with prescribed parameters and an efficient decoding algorithm. [ABSTRACT FROM AUTHOR]

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