Efficient two write WOM codes, coding methods and devices

摘要

The invention provides a family of 2-write WOM-codes, preferred embodiments of which provide improved WOM-rates. Embodiments of the invention provide constructs for linear codes C having a 2-write WOM-code. Embodiments of the invention provide 2-write WOM-codes that improve the best known WOM-rates known to the present inventors at the time of filing with two writes. Preferred WOM-codes are proved to be capacity achieving when the parity check matrix of the linear code C is chosen uniformly at random. Preferred embodiments of the invention provide an electronic device utilizing an efficient coding scheme of WOM-codes with two write capability. The coding method is based on linear binary codes and allows the electronic device to write information to the memory twice before erasing it. This method can be applied for any kind of memory systems, and in particular for flash memories. The method is shown to outperform all well-known codes.