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

Document Type : Original Article

Authors

Pankaj Kumar Das ¹

Lalit K. Vashisht ²

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

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

10.22034/kjm.2016.14572

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.

Keywords

Syndromes

parity check digits

blockwise codes

burst

error locating codes

tensor product

Subjects

• 94 Information and communication, circuits

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