On the Early Stopped Euclidean Algorithm for the Decoding of BCH Codes

碩士 === 國立清華大學 === 電機工程學系 === 87 === We investigate an early stopped version of the Euclidean algorithm in the decoding of BCH codes. We show that this early stopped version is equivalent to the early stopped version of the Berlekamp-Massey algor...

Full description

Bibliographic Details
Main Authors: Hsiu-Wen Wang, 王琇雯
Other Authors: Chung-Ching Lu
Format: Others
Language:en_US
Published: 1999
Online Access:http://ndltd.ncl.edu.tw/handle/19552842040654366760
id ndltd-TW-087NTHU0442032
record_format oai_dc
spelling ndltd-TW-087NTHU04420322015-10-13T11:46:55Z http://ndltd.ncl.edu.tw/handle/19552842040654366760 On the Early Stopped Euclidean Algorithm for the Decoding of BCH Codes 用於BCH碼解碼之可提早結束的歐幾里得演算法 Hsiu-Wen Wang 王琇雯 碩士 國立清華大學 電機工程學系 87 We investigate an early stopped version of the Euclidean algorithm in the decoding of BCH codes. We show that this early stopped version is equivalent to the early stopped version of the Berlekamp-Massey algorithm and can be implemented by an algorithm which requires only (t+e) syndromes, instead of 2t syndromes in the conventional Euclidean algorithm or the conventional Berlekamp-Massey algorithm, and has multiplicative complexity te+e2-1, where t is the designed error-correcting capability of the BCH code and e is the number of errors actually occurring. Chung-Ching Lu 呂忠津 1999 學位論文 ; thesis 43 en_US
collection NDLTD
language en_US
format Others
sources NDLTD
description 碩士 === 國立清華大學 === 電機工程學系 === 87 === We investigate an early stopped version of the Euclidean algorithm in the decoding of BCH codes. We show that this early stopped version is equivalent to the early stopped version of the Berlekamp-Massey algorithm and can be implemented by an algorithm which requires only (t+e) syndromes, instead of 2t syndromes in the conventional Euclidean algorithm or the conventional Berlekamp-Massey algorithm, and has multiplicative complexity te+e2-1, where t is the designed error-correcting capability of the BCH code and e is the number of errors actually occurring.
author2 Chung-Ching Lu
author_facet Chung-Ching Lu
Hsiu-Wen Wang
王琇雯
author Hsiu-Wen Wang
王琇雯
spellingShingle Hsiu-Wen Wang
王琇雯
On the Early Stopped Euclidean Algorithm for the Decoding of BCH Codes
author_sort Hsiu-Wen Wang
title On the Early Stopped Euclidean Algorithm for the Decoding of BCH Codes
title_short On the Early Stopped Euclidean Algorithm for the Decoding of BCH Codes
title_full On the Early Stopped Euclidean Algorithm for the Decoding of BCH Codes
title_fullStr On the Early Stopped Euclidean Algorithm for the Decoding of BCH Codes
title_full_unstemmed On the Early Stopped Euclidean Algorithm for the Decoding of BCH Codes
title_sort on the early stopped euclidean algorithm for the decoding of bch codes
publishDate 1999
url http://ndltd.ncl.edu.tw/handle/19552842040654366760
work_keys_str_mv AT hsiuwenwang ontheearlystoppedeuclideanalgorithmforthedecodingofbchcodes
AT wángxiùwén ontheearlystoppedeuclideanalgorithmforthedecodingofbchcodes
AT hsiuwenwang yòngyúbchmǎjiěmǎzhīkětízǎojiéshùdeōujǐlǐdéyǎnsuànfǎ
AT wángxiùwén yòngyúbchmǎjiěmǎzhīkětízǎojiéshùdeōujǐlǐdéyǎnsuànfǎ
_version_ 1716847656112750592