Codes Correcting Blockwise S-Periodic Errors

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Executive Summary

In most memory and storage system, the information is stored in various parts of the code length, known as sub-blocks. So, when error occurs in such a system, it does in a few places of the same sub-block and the pattern of errors is known. Thus, when the authors consider error correction, they correct errors which occur within the same sub-block. Hence there is a need to study Block-wise Error Correcting (BEC) codes. In fact, block-wise correction of error is an extension of the concept-Error Location, introduced by Wolf and Elspas. They obtained results in the form of bounds over the number of parity-check digits required for binary codes capable of detecting and locating a single sub-block containing random errors.

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