The paper gives explicit solutionsfor the cases of single error detection, singleerror correction, and single error correction plusdouble error detection. II also indicates the natureof the general case, and supplies a few relevantobservations on the problem....
METHOD AND APPARATUS FOR GENERATING ERROR-CORRECTING AND ERROR-DETECTING CODES USING ZERO-DIVISORS AND UNITS IN GROUP RINGSA method and apparatus for generating a code having properties specific to its intended use, the method comprising the steps of: selecting a group from a set of groups; ...
It is fortuitous that, about the same time information theory was conceived, a theory of error correcting and detecting codes emerged. By the systematic injection of redundant bits into the encoding of information, the reliability of transmission could be improved. Hopes that codes achieving the ...
This paper presents a low-overhead non-intrusive technique to detect and correct the most likely soft errors using customized ad-hoc error detecting and correcting (EDAC) codes. Employing the proposed EDAC scheme can dramatically reduce the failure rate and hence increase the mean time to failure...
Error-correcting coding can be defined as the art of adding redundancy to stored data or messages efficiently so that distortions can be detected and correctly revised. In the context of functional safety of IEC 61508, this can be addressed as method to control statistical hardware failures in ...
Key words: Error Detection (ED) and Error Correction (EC), Multiple Upsets, Decimal Matrix CodeC. Hamming Code:A Hamming code[3] is one of the method of linear errordetecting and correcting code. It detects more error but itcorrects only one error .By using EXOR gates we cancalculate the...
Error Detecting and Correcting Codesdoi:10.1016/b0-12-227240-4/00062-9VerlindePatrickEncyclopedia of Information SystemsR. W. Hamming. Error detecting and correcting codes. Tech- nical Report Vol 29, Bell Laboratories Technical Journal, pp. 147-160, 1950....
Codes from zero-divisors and units in group rings - Hurley, Hurley - 2009 () Citation Context ...s need be worked out. In general it is shown in Proposition 8.2 that if G is the generator matrix of an (n, r) code which has rank r and G is a zero-divisor code (as are cyclic...
error correcting and detecting codesdisjoint ordinary setsvariation lawblock and convolutional codesword lengthsminimum distance principlechemical noise statistics/ B6120B CodesA new decoding algorithm is deduced by dividing the set of all received words in non-disjoint fuzzy sets instead of disjoint ...
In this chapter, Error Detecting and Correcting Codes (also noted EDC codes) are presented. These codes, which are an illustration of the general theory of redundancy presented in Chapter 8, were originally used for the encoding of information to allow its transmission in noisy environments; for...