发明名称 |
Method and means for computationally efficient on-the-fly error correction in linear cyclic codes using ultra-fast error location |
摘要 |
A computationally efficient, machine-implementable method and means for detecting and correcting errors in received codewords on-the-fly within the capacity of a linear cyclic code using ultra-fast error location processing. Each error locator polynomial of degree t over a finite Galois field derived from a codeword syndrome is mapped into a matrix representative of a system of linear simultaneous equations related to the polynomial coefficients. Roots indicative of error locations within the codeword are extracted from the matrix by a modified Gaussian Elimination process for all the roots where t<=5 and at least one root plus a subset of candidate roots from the finite field for iterative substitution where t>5. Corrected values are separately determined and correction is secured by logically combining the corrected values with the codeword values in error at the error locations represented by the roots.
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申请公布号 |
US6345376(B1) |
申请公布日期 |
2002.02.05 |
申请号 |
US20000618414 |
申请日期 |
2000.07.18 |
申请人 |
INTERNATIONAL BUSINESS MACHINES CORPORATION |
发明人 |
COX CHARLES EDWIN;FLICKNER MYRON DALE;HAFNER JAMES LEE;HASSNER MARTIN AURELIANO;TRAGER BARRY MARSHALL;WINOGRAD SHMUEL |
分类号 |
H03M13/00;H03M13/15;(IPC1-7):H03M13/00 |
主分类号 |
H03M13/00 |
代理机构 |
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主权项 |
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