| Presentation | 2006-05-25 On the Maximum Likelihood Performance of Linear Product Codes(HISC2006) Mostafa El-Khamy, Roberto Garello, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper we analyze the maximum likelihood performance of linear product codes. Since the weight enumerators of most linear product codes remain unknown, their performance analysis relied on the truncated union bounds using knowledge about the number of codewords with very low weight. Such bounds are very loose at low and medium signal to noise ratios. Through concatenated representations of product codes, we derive averaged weight enumerators of linear product codes over any finite field. The split weight enumerators of popular component codes such as Hamming codes and extended Hamming codes are studied and used in the analysis. Numerical results show that our technique results in bounds on the maximum likelihood performance of product codes which are tight at both high and low signal-to-noise ratios. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Product codes / split enumerator / weight enumerator / maximum likelihood performance |
| Paper # | IT2006-23 |
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| Conference Information | |
| Committee | IT |
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| Conference Date | 2006/5/18(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Information Theory (IT) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the Maximum Likelihood Performance of Linear Product Codes(HISC2006) |
| Sub Title (in English) | |
| Keyword(1) | Product codes |
| Keyword(2) | split enumerator |
| Keyword(3) | weight enumerator |
| Keyword(4) | maximum likelihood performance |
| 1st Author's Name | Mostafa El-Khamy |
| 1st Author's Affiliation | Department of Electrical Engineering California Institute of Technology Pasadena() |
| 2nd Author's Name | Roberto Garello |
| 2nd Author's Affiliation | Dipartimento di Elettronica Politecnico di Torino Italy |
| Date | 2006-05-25 |
| Paper # | IT2006-23 |
| Volume (vol) | vol.106 |
| Number (no) | 60 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |