A determinant whose only nonzero elements occur in square blocks centered about the principal diagonal is in block-diagonal form . 僅有的非零元素集中于主對(duì)角線的方塊中的行列式是分塊對(duì)角形式的。
All nonzero elements of gf ( 2m ) must be verified by the conventional step - by - step decoding algorithm , which increases the computational complexity of decoding , so the conventional step - by - step decoding algorithm ca n ' t be adapt to the requirement of rapid decoding 因此標(biāo)準(zhǔn)的step - by - step譯碼算法對(duì)gf ( 2 ~ m )域中所有的非零元素全部檢驗(yàn),將造成計(jì)算量巨大,難以滿足快速譯碼的要求。本論文基于t
But conventional step - by - step decoding algorithm requires that every symbol of received word r ( x ) orderly adds to 2m - 1 nonzero elements of gf ( 2 ) to determine whether the weight of the error pattern has been reduced . if the weight of error pattern is reduced , the error location and the corresponding error value are found 但是標(biāo)準(zhǔn)的step - by - step譯碼算法將接收碼字中每個(gè)符號(hào)與伽羅華域gf ( 2 ~ m )中的2 ~ m - 1個(gè)非零元素依次相加,判斷錯(cuò)誤圖樣的重量是否下降,如果下降則說(shuō)明找到了錯(cuò)誤位置和相應(yīng)的錯(cuò)誤值。