Abstract: A method of storing data into a memory array converts an input string into a first binary array with (m?1) rows and (n?1) columns. A second binary array with m rows and n columns in an encoded bit pattern is then generated from the first binary array. The second binary array in the encoded bit pattern has at most n/2 1's in each row and at most m/2 1's in each column, and the m-th row and an n-th column contain information for decoding other entries of the second binary array. The encoded bit pattern of the second binary array is then stored into corresponding memory devices of the memory array.

Abstract: A method of storing data into a memory array converts an input string into a first binary array with (m?1) rows and (n?1) columns. A second binary array with m rows and n columns in an encoded bit pattern is then generated from the first binary array. The second binary array in the encoded bit pattern has at most n/2 1's in each row and at most m/2 1's in each column, and the m-th row and an n-th column contain information for decoding other entries of the second binary array. The encoded bit pattern of the second binary array is then stored into corresponding memory devices of the memory array.

Abstract: Method and system embodiments of the present invention are directed to encoding information in ways that are compatible with constraints associated with electrical-resistance-based memories and useful in other, similarly constrained applications, and to decoding the encoded information. One embodiment of the present invention encodes k information bits and writes the encoded k information bits to an electronic memory, the method comprising systematically encoding the k information bits to produce a vector codeword, with additional parity bits so that the codeword is resilient to bit-transition errors that may occur during storage of the codeword in, and retrieval of the codeword from, the electronic memory, ensuring that the codeword does not violate a weight constraint, and writing the codeword to the electronic memory.

Abstract: Method and system embodiments of the present invention are directed to encoding information in ways that are compatible with constraints associated with electrical-resistance-based memories and useful in other, similarly constrained applications, and to decoding the encoded information. One embodiment of the present invention encodes k information bits and writes the encoded k information bits to an electronic memory, the method comprising systematically encoding the k information bits to produce a vector codeword, with additional parity bits so that the codeword is resilient to bit-transition errors that may occur during storage of the codeword in, and retrieval of the codeword from, the electronic memory, ensuring that the codeword does not violate a weight constraint, and writing the codeword to the electronic memory.