Hamming (Theorem)

Hamming’s Theorem concerns the design of error-detecting and error-correcting codes. It states that for a code to detect up to *d* errors and correct up to *t* errors, the code's parameters must satisfy certain relationships. Specifically, Hamming's bound provides a limit on how many codewords can be used given the length and error-correcting capability, ensuring reliable data transmission. Essentially, it helps in designing efficient codes that maximize data integrity while minimizing redundancy, guiding engineers to create systems capable of identifying and fixing errors introduced during data transfer.