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  <controlfield tag="001">UP-99796217609611378</controlfield>
  <controlfield tag="003">Buklod</controlfield>
  <controlfield tag="005">20231007234430.0</controlfield>
  <controlfield tag="006">m    |o  d |      </controlfield>
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   <subfield code="a">eng</subfield>
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   <subfield code="a">Xinmiao Zhang</subfield>
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   <subfield code="a">Fast factorization architecture in soft-decision Reed-Solomon decoding.</subfield>
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   <subfield code="a">pp. 413-426</subfield>
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   <subfield code="a">Reed-Solomon (RS) codes are among the most widely utilized block error-correcting codes in modern communication and computer systems. Compared to its hard-decision counterpart, soft-decision decoding offers considerably higher error-correcting capability. The recent development of soft-decision RS decoding algorithms makes their hardware implementations feasible. Among these algorithms, the Koetter-Vardy (KV) algorithm can achieve substantial coding gain for high-rate RS codes, while maintaining a polynomial complexity with respect to the code length. In the KV algorithm, the factorization step can consume a major part of the decoding latency. A novel architecture based on root-order prediction is proposed in this paper to speed up the factorization step. As a result, the time-consuming exhaustive-search-based root computation in each iteration level, except the first one, of the factorization step is circumvented with more than 99% probability. Using the proposed architecture, a speedup of 141% can be achieved over prior efforts for a (255, 239) RS code, while the area consumption is reduced to 31.4%.</subfield>
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   <subfield code="a">Chien search.</subfield>
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   <subfield code="a">Guruswami-Sudan algorithm.</subfield>
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   <subfield code="a">Koetter-Vardy algorithm.</subfield>
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   <subfield code="a">Reed-Solomon codes.</subfield>
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   <subfield code="a">VLSI architecture.</subfield>
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   <subfield code="a">Code length.</subfield>
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   <subfield code="a">Coding gain.</subfield>
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   <subfield code="a">Computer systems.</subfield>
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   <subfield code="a">Decoding latency.</subfield>
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   <subfield code="a">Error-correcting codes.</subfield>
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   <subfield code="a">Factorization step.</subfield>
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   <subfield code="a">Fast factorization architecture.</subfield>
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   <subfield code="a">Hardware implementations.</subfield>
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   <subfield code="a">High-rate RS codes.</subfield>
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   <subfield code="a">Modern communication.</subfield>
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   <subfield code="a">Polynomial complexity.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Root-order prediction.</subfield>
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  <datafield tag="653" ind1=" " ind2=" ">
   <subfield code="a">Soft-decision Reed-Solomon decoding.</subfield>
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  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">IEEE Transactions on VLSI systems</subfield>
   <subfield code="g">13, 4 (2005).</subfield>
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   <subfield code="a">FO</subfield>
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   <subfield code="a">Article</subfield>
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