Error-Correcting Codes for the Sum Channel

This project is a theoretical contribution to the field of information theory and channel coding. It introduces the 'Sum Channel' model, which specifically addresses the parity-based row structures common in RAID or DNA storage systems where synchronization errors (deletions) are a major bottleneck. The defensibility score of 3 reflects its current state as a specialized academic contribution with zero stars and low code-based traction; however, the 'moat' here is the deep domain expertise required to invent and prove these code constructions. Frontier labs are unlikely to compete here as this is low-level hardware/bio-storage infrastructure logic. The primary risk is that the research remains purely academic or is superseded by another coding scheme (like VT codes or polar codes adapted for deletions) before reaching production. For a technical investor, this is a 'deep tech' seed signal for next-generation storage reliability, but currently lacks the library-grade implementation needed for higher defensibility.