Error Locating Codes By Using Blockwise-Tensor Product of Blockwise Detecting/Correcting Codes

Document Type: Original Article

Authors

1 Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur, Assam -784028, India

2 Department of Mathematics, University of Delhi, Delhi-110007, India

Abstract

In this paper, we obtain lower and upper bounds on the number of parity check digits of a linear code that corrects  $e$ or less errors within a sub-block. An example of such a code is provided.  We introduce  blockwise-tensor product of matrices and using this, we propose  classes of error locating codes (or EL-codes) that can detect $e$ or less errors within a sub-block and locate several such corrupted sub-blocks.

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