Storage systems, such as Flash memories, suffer, apart from the always present
noise, also from offset. The presence of this noise can decrease the performance
of a decoder using the Euclidean distance significantly. To negate the effects of
offset, a new distance, the modied Euclidean distance, was introduced, which
offers immunity to offset. However, the modified Euclidean distance is less
resistant to noise, which calls for methods to improve its resistance. The coset
of Hamming codes, constant weight codes and Berger codes are discussed and are simulated to investigate their performance with both distances. These codes are compared to each other for the Euclidean distance and the modified Euclidean
distance.