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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…
cs.IT2022★ 1 cited
Linear Programming Hierarchies in Coding Theory: Dual Solutions
Elyassaf Loyfer, Nati Linial
The rate vs. distance problem is a long-standing open problem in coding theory. Recent papers have suggested a new way to tackle this problem by appealing to a new hierarchy of lin…