Modified algebraic decoding of the binary (47, 24, 11) quadratic residue code
A modified algebraic decoding algorithm (ADA) is presented to decode up to five possible errors in a binary systematic (47, 24, 11) quadratic residue (QR) code. The main key points of the proposed ADA are to modify the erroneous conditions in Case 3, Case 4, and Case 5 of the ADA given in He et al....
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| Vydané v: | 2011 International Conference on Consumer Electronics, Communications and Networks s. 5056 - 5059 |
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| Hlavní autori: | , |
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| Jazyk: | English |
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IEEE
01.04.2011
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| Abstract | A modified algebraic decoding algorithm (ADA) is presented to decode up to five possible errors in a binary systematic (47, 24, 11) quadratic residue (QR) code. The main key points of the proposed ADA are to modify the erroneous conditions in Case 3, Case 4, and Case 5 of the ADA given in He et al. (2001) and to find out the true conditions from Case 2 to Case 5. The new conditions can also be applied to the ADA given in Lin et al. (2010). A simulation result shows that the decoding time of the proposed ADA is faster than that of ADA given in Lin et al. (2010). |
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| AbstractList | A modified algebraic decoding algorithm (ADA) is presented to decode up to five possible errors in a binary systematic (47, 24, 11) quadratic residue (QR) code. The main key points of the proposed ADA are to modify the erroneous conditions in Case 3, Case 4, and Case 5 of the ADA given in He et al. (2001) and to find out the true conditions from Case 2 to Case 5. The new conditions can also be applied to the ADA given in Lin et al. (2010). A simulation result shows that the decoding time of the proposed ADA is faster than that of ADA given in Lin et al. (2010). |
| Author | Hsin-Chiu Chang Hung-Peng Lee |
| Author_xml | – sequence: 1 surname: Hung-Peng Lee fullname: Hung-Peng Lee email: hpl@center.fotech.edu.tw organization: Dept. of Comput. Sci. & Inf. Eng., Fortune Inst. of Technol., Kaohsiung, Taiwan – sequence: 2 surname: Hsin-Chiu Chang fullname: Hsin-Chiu Chang email: p01244@center.fotech.edu.tw organization: Dept. of Comput. Sci. & Inf. Eng., Fortune Inst. of Technol., Kaohsiung, Taiwan |
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| Snippet | A modified algebraic decoding algorithm (ADA) is presented to decode up to five possible errors in a binary systematic (47, 24, 11) quadratic residue (QR)... |
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| SubjectTerms | algebraic decoding algorithm Decoding error locator polynomial Galois fields Helium Polynomials quadratic residue codes Silicon Simulation syndrome Systematics |
| Title | Modified algebraic decoding of the binary (47, 24, 11) quadratic residue code |
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