Graphical Algebraic Geometry creates universal diagrammatic languages for commutative algebras and affine varieties that also characterize the qudit ZH calculus for quantum computation.
Journal of the Society for Industrial and Applied Mathematics8(2), 300–304 (1960)
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Enumerative realization of RLIM codes achieves exponential-to-polynomial storage reduction while maintaining code properties and enabling better bit-error-rate performance in larger dimensions for molecular communication.
Reducer achieves optimal-complexity asynchronous MVBA with t < n/4 resilience using collision-resistant hashes and a new SMBA primitive; Reducer++ extends to near-optimal resilience via random-oracle hashes.
APC embeds compact Ed25519 signatures into audio phase data with error correction to achieve 97.5-98.3% cryptographic verification under eight attack types at mean PESQ 3.02.
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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Asymmetric Phase Coding Audio Watermarking
APC embeds compact Ed25519 signatures into audio phase data with error correction to achieve 97.5-98.3% cryptographic verification under eight attack types at mean PESQ 3.02.
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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.