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cs.IT2025
Bounds on Unique-Neighbor Codes
Nati Linial, Edan Orzech
Recall that a binary linear code of length is a linear subspace . Here the parity check matrix is a binary matrix…
cs.IT2025
Higher-order Delsarte Dual LPs: Lifting, Constructions and Completeness
Leonardo Nagami Coregliano, Fernando Granha Jeronimo, Chris Jones +2
A central and longstanding open problem in coding theory is the rate-versus-distance trade-off for binary error-correcting codes. In a seminal work, Delsarte introduced a family of…