Method and means for computationally efficient on-the-fly error correction in linear cyclic codes using ultra-fast error location
US6154868A · kind A · utility
Assignee
Inventors
Key dates
| Filing date | Jul 18, 1997 |
| Grant date | Nov 28, 2000 |
| Priority date | — |
| Expiry date | Jul 18, 2017 |
Classification
- Technology area (CPC H)Electricity
- CPC primaryH03M13/616
- WIPO fieldBasic communication processes
- WIPO sectorElectrical engineering
Abstract
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.ltoreq.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.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.