Derives a Plotkin-like bound for irregular Lee-distance codes and explicit optimal FCLCs for Lee weight, modular sum, and related functions.
Function-Correcting Codes for Locally Bounded Functions,
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A construction for optimal SEFCCs on the Hamming code membership function is given by reducing distance-2 pair minimization to a max-cut problem solved via eigenvectors of distance-4 graphs, with optimality for even n attained by bent functions.
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Plotkin-like Bound and Explicit Function-Correcting Code Constructions for Lee Metric Channels
Derives a Plotkin-like bound for irregular Lee-distance codes and explicit optimal FCLCs for Lee weight, modular sum, and related functions.
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Function-Correction with Optimal Data Protection for the General Hamming Code Membership
A construction for optimal SEFCCs on the Hamming code membership function is given by reducing distance-2 pair minimization to a max-cut problem solved via eigenvectors of distance-4 graphs, with optimality for even n attained by bent functions.