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A system and method for encoding information is disclosed. In one embodiment, information is encoded using a high protection code for the least significant bit and a low protection code for the next three most significant bits. The remaining bits are uncoded. The high protection code may be a turbo

A system and method for encoding information is disclosed. In one embodiment, information is encoded using a high protection code for the least significant bit and a low protection code for the next three most significant bits. The remaining bits are uncoded. The high protection code may be a turbo code and the low protection code may be a trellis coded modulation code. In this embodiment, the collection of bits is then mapped according to a diagonally shifted QAM constellation technique.

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What is claimed is: 1. A system for encoding a quantity of electronic information, the system comprising: a high protection code encoder configured to encode a first portion of the quantity of information to produce a first coded portion of information; a low protection code encoder configured to e

What is claimed is: 1. A system for encoding a quantity of electronic information, the system comprising: a high protection code encoder configured to encode a first portion of the quantity of information to produce a first coded portion of information; a low protection code encoder configured to encode a second portion of the quantity of information to produce a second coded portion of information such that the high protection code encoder and the low protection code encoder encode the first and second portions based on a 16-state 4D Wei code concatenated with a rate 1/2 parallel concatenated turbo code, wherein the first portion comprises a least significant bit, the second portion comprises a next three significant bits, and wherein any remaining bits are uncoded; and a modulator configured to map the first coded portion of information, the second coded portion of information, and a third portion of the quantity of information to at least one symbol. 2. The system of claim 1 wherein the high protection code encoder does not limit the asymptotic performance of the system for encoding a quantity of electronic information. 3. The system of claim 1 wherein the high protection code encoder provides a free Euclidean distance dfree,hpc and the low protection code encoder provides a free Euclidean distance dfree,lpc such that dfree,hpc>DNn+pdfree,lpc, wherein DNn+p is a distance coefficient. 4. The system of claim 3 wherein 5. The system of claim 4 wherein the system is configured to produce a signal compromising a signal set selected from the group comprising one of: 1D lattice-type signal sets and 2D lattice-type signal sets. 6. The system of claim 3 wherein D41=D42=√{square root over (2)}, and D43=D44=2. 7. The system of claim 6 wherein the high protection encoder is configured to produce a signal comprising a 4D lattice-type signal set. 8. The system of claim 1 wherein the Wei code is consistent with ITU G.992.1 standard. 9. The system of claim 1 wherein the modulator is configured to use at least one diagonally shifted quadrature amplitude modulation constellation. 10. The system of claim 1, wherein the high protection code encoder further comprises: two rate 1/2 binary recursive systematic convolutional (RSC) encoders; and a random interleaver, wherein the random interleaver separates the two rate 1/2 binary RSC encoders with a size of 1,024 bits. 11. A system for encoding a quantity of electronic information, the system comprising: means for encoding a first portion of the quantity of information according to a high protection code to produce a first coded portion of information; means for encoding a second portion of the quantity of information according to a low protection code to produce a second coded portion of information such that the means for encoding a first portion and the means for encoding a second portion encode the first and second portions based on a 16-state 4D Wei code concatenated with a rate 1/2 parallel concatenated turbo code, wherein the first portion comprises a least significant bit portion, the second portion comprises a next least significant bit portion, and wherein any remaining bits are uncoded; and means for mapping the first coded portion of information, the second coded portion of information, and a third portion of the quantity of information to at least one symbol.