Low-cost single error correction multiple adjacent error correction codes

Soft errors that affect flip-flops are a major issue in advanced electronic circuits. As technology scales, multiple bit errors become more likely. This limits the applicability of traditional protection techniques like triplication with voting or single error correction codes that can correct only one error. Multiple errors tend to affect adjacent bits, and therefore it is interesting to use error correction codes that can correct adjacent errors. The issue with these codes is that they require a large area and delay that limits their use to protect flip-flops in circuits. Presented are codes that can be implemented with low area and delay and can correct multiple adjacent errors.