Integer Codes Correcting Asymmetric Errors in Nand Flash Memory

Memory devices based on floating-gate transistor have recently become dominant technology for non-volatile storage like USB flash drives, memory cards, solid-state disks, etc. In contrast to many communication channels, the errors observed in device use are not random but of special, mainly asymmetric, type. Integer codes which proved their efficiency cases with asymmetric can be applied successfully devices, too. This paper presents a new construction and integer over ring integers modulo A=2n+1 capable correcting single type (1,2),(±1,±2), or (1,2,3) that typical devices. The is cyclotomic cosets 2 A. parity-check matrices listed n≤10.