A class of quasi-cyclic LDPC codes over GF(2m)
Low Density Parity Check (LDPC) codes over GF(2 m, )are an extension of binary LDPC codes. Performances of GF(2 m, ) LDPC codes have been shown to be higher than binary LDPC codes, but the complexity of the encoders/decoders increases. Hence there is a substantial lack of implementations for LDPC co...
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Published in | IEEE transactions on communications Vol. 57; no. 9; pp. 2524 - 2527 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
New York, NY
IEEE
01.09.2009
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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Abstract | Low Density Parity Check (LDPC) codes over GF(2 m, )are an extension of binary LDPC codes. Performances of GF(2 m, ) LDPC codes have been shown to be higher than binary LDPC codes, but the complexity of the encoders/decoders increases. Hence there is a substantial lack of implementations for LDPC codes over GF(2 m, )codes. This paper presents a class of quasi-cyclic LDPC codes over GF(2 m, ). These codes can alleviate the encoding/decoding complexity without excessive loss of performances. It is shown how, from a performance point of view, such codes are better than m times bigger binary codes and as good as (2 m, )longer binary codes. |
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AbstractList | Low Density Parity Check (LDPC) codes over GF(2 m, )are an extension of binary LDPC codes. Performances of GF(2 m, ) LDPC codes have been shown to be higher than binary LDPC codes, but the complexity of the encoders/decoders increases. Hence there is a substantial lack of implementations for LDPC codes over GF(2 m, )codes. This paper presents a class of quasi-cyclic LDPC codes over GF(2 m, ). These codes can alleviate the encoding/decoding complexity without excessive loss of performances. It is shown how, from a performance point of view, such codes are better than m times bigger binary codes and as good as (2 m, )longer binary codes. Low Density Parity Check (LDPC) codes over GF(2 super(m,))are an extension of binary LDPC codes. Performances of GF(2 super(m,)) LDPC codes have been shown to be higher than binary LDPC codes, but the complexity of the encoders/decoders increases. Hence there is a substantial lack of implementations for LDPC codes over GF(2 super(m,))codes. This paper presents a class of quasi-cyclic LDPC codes over GF(2 super(m,)). These codes can alleviate the encoding/decoding complexity without excessive loss of performances. It is shown how, from a performance point of view, such codes are better than m times bigger binary codes and as good as (2 super(m,))longer binary codes. |
Author | Marnane, W. Spagnol, C. |
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Keywords | Performance evaluation Cyclic code FPGA Field programmable gate array Binary code quasi-cyclic codes Implementation permutational codes Codec Coding Low density parity check codes Algorithm complexity Parity check codes Error correcting code |
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Snippet | Low Density Parity Check (LDPC) codes over GF(2 m, )are an extension of binary LDPC codes. Performances of GF(2 m, ) LDPC codes have been shown to be higher... Low Density Parity Check (LDPC) codes over GF(2 super(m,))are an extension of binary LDPC codes. Performances of GF(2 super(m,)) LDPC codes have been shown to... |
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SubjectTerms | Applied sciences Arithmetic Binary codes Circuits Coding, codes Complexity Decoders Decoding Density Encoders Encoding Error correction codes Exact sciences and technology Field programmable gate arrays FPGA Galois fields Information, signal and communications theory Iterative decoding Low density parity check codes Parity Parity check codes permutational codes quasi-cyclic codes Routing Signal and communications theory Telecommunications and information theory Turbo codes |
Title | A class of quasi-cyclic LDPC codes over GF(2m) |
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