Abstract: Data is transmitted using multiple description vector quantization by first quantizing the source vector at a lattice vector quantizer. After quantization, a labeling function is applied to the quantized source vector, creating a plurality of data streams. Each data stream is encoded and transmitted over a separate channel. Furthermore, the encoded data is decoded by first retrieving a representation of a sublattice point from a set of sublattice points from the data stream and then, determining a single data code word being associated with the retrieved representation of the sublattice point.

Abstract: Patient disease is diagnosed and/or treated using electronic data communications between not only the physician and his/her patient, but via the use of electronic data communications between the physician and one or more entities which can contribute to the patient's diagnosis and/or treatment, such electronic data communications including information that was priorly received electronically from the patient and/or was developed as a consequence of an electronic messaging interaction that occurred between the patient and the physician. Such other entities illustratively include a medical diagnostic center and an epidemiological database computer facility which collects epidemiological transaction records from physicians, hospitals and other institutions which have medical facilities, such as schools and large businesses.

Abstract: In a trellis coding arrangement, the alphabet is comprised of a plurality of cosets of a sublattice of a p-dimensional lattice, where p<4.

Abstract: A stream of binary bits is converted into blocks of eight parallel bits. A first group of five of the eight bits addresses a memory device which has thirty-two code words each having four numbers representing the coordinates of signal points in four-dimensional space. The remaining three of the eight bits are expanded to four bits by a convolutional encoder having three bits of memory. These four bits are then used to multiply the four numbers of a code word read out from the memory device. This method permits a block of eight binary bits to be coded into any one of five hundred and twelve four-dimensional code words.

Abstract: A method and arrangement for decoding n-dimensional codes in which the alphabet of codewords is selected from the points of a lattice comprised of a union of cosets of the lattice D.sub.n, the latter being comprised of those n-dimensional integer-valued-coordinate points which have a predetermined parity.

Abstract: A stream of binary bits is converted into blocks of eight parallel bits. A first group of five of the eight bits addresses a memory device which has thirty-two code words each having four numbers representing the coordinates of signal points in four-dimensional space. The remaining three of the eight bits are expanded to four bits by a convolutional encoder having three bits of memory. These four bits are then used to multiply the four numbers of a code word read out from the memory device. This method permits a block of eight binary bits to be coded into any one of five hundred and twelve four-dimensional code words.