Data mapping enabling fast read multi-level 3d nand to improve lifetime capacity

Abstract

In this disclosure, data mapping based on three dimensional lattices that have an improved sum rate (i.e., lifetime capacity) with low read latency is disclosed. During the write, a memory location is written to multiple times prior to erasure. Specifically, for the first write, there are 4/3 bits per cell available for writing, which is about 10.67 kB per cell are used for data storage. Then, for the second write, there is one bit per cell, which is 8 kB per cell for data storage. If considering a block with 128 different cells and writing 32 kB of data, the first write results in 42.66 data writes while the second write results in 32 writes for a total of 74.66 writes. Previously, the number of writes for 32 kB would be 64 writes. Thus, by writing twice prior to erasure, more data can be stored.