Constructions of multiple error correcting WOM-Code

WOM-codes are constrained codes for memory devices whose state transition is irreversible. If we use the code, n-bit data can be written more than once on write-once cells of length greater than n. Error correcting WOM-codes have also been proposed. In this paper, a method for constructing multiple error correcting WOM-codes by modifying and simplifying the previously proposed error correcting WOM-code is presented. Codes constructed with our method have better code rates for some cases than the previously proposed code for some cases and no restrictions on the number of correctable errors. A single-symbol and a two-symbols error correcting code are also proposed.