| Presentation | 2014-05-16 A method of parallel processing of syndromes to decode primitive BCH codes Ken-ichi IWATA, Reiya OOSHIMA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We consider numbers of addition and multiplication operations to calculate an error syndrome for q-ary primitive BCH codes. The paper describes an algorithm to construct a circuit to calculate an error syndrome by 2t(q-1)(m+2((q^m-1)/(q-1)-m)) number of additions and (2t(q-2)(q^m-1))/(q-1) number of multiplications from the relationships of parity check matrix between Hamming codes and BCH codes. We evaluate the delay time of the circuit to calculate an error syndrome for q-ary primitive BCH codes, and show that it takes m([log_2 (q-1)]+1) δ_ |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Error-correcting codes / Hamming codes / BCH codes / parallel syndrome calculation |
| Paper # | IT2014-5 |
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| Conference Information | |
| Committee | IT |
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| Conference Date | 2014/5/9(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Theory (IT) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A method of parallel processing of syndromes to decode primitive BCH codes |
| Sub Title (in English) | |
| Keyword(1) | Error-correcting codes |
| Keyword(2) | Hamming codes |
| Keyword(3) | BCH codes |
| Keyword(4) | parallel syndrome calculation |
| 1st Author's Name | Ken-ichi IWATA |
| 1st Author's Affiliation | Department of Information Science, Graduate School of Engineering, University of Fukui() |
| 2nd Author's Name | Reiya OOSHIMA |
| 2nd Author's Affiliation | Department of Information Science, Graduate School of Engineering, University of Fukui |
| Date | 2014-05-16 |
| Paper # | IT2014-5 |
| Volume (vol) | vol.114 |
| Number (no) | 34 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |