Lean 4 formalization of q-ary covering code theory with certificate predicates for bounds on K_q(n,r) and a proof-carrying database of upper and lower bounds.
Error detecting and error correcting codes
2 Pith papers cite this work. Polarity classification is still indexing.
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Adapts RAID for logical data, implements software system, and tests recovery of arbitrary faults in archives using small redundant data fraction.
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Formal Foundations and Proof-Carrying Certificates for q-ary Covering Codes in Lean 4
Lean 4 formalization of q-ary covering code theory with certificate predicates for bounds on K_q(n,r) and a proof-carrying database of upper and lower bounds.
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Using Data Redundancy Techniques to Detect and Correct Errors in Logical Data
Adapts RAID for logical data, implements software system, and tests recovery of arbitrary faults in archives using small redundant data fraction.