Manifold Error Recognition and Modification

Hamming codes are attractive as they are simple to construct for any word length and encoding or decoding can be done with low latency. In this paper, modified Hamming codes to enhance adjacent error detection along with double adjacent error correction is presented. The enhanced detection of adjacent errors can be achieved by modifying the Hamming matrices. The double adjacent error correction can be achieved by adding few redundant bits. The modified Hamming codes can correct single and double adjacent errors and can detect double errors and triple adjacent errors. The double and triple adjacent errors are precisely the types of errors that an MCU would likely cause, and therefore, the modified Hamming codes will be useful to provide error detection and correction for MCUs in memory designs.