LOCATION OF BURST AND REPEATED BURST ERROR IN SINGLE AND ADJACENT SUB-BLOCKS

The paper gives necessary and sufficient conditions for the existence of linear codes capable of identifying burst/repeated burst errors whether it is confined to one sub-block or spread over two adjacent sub-blocks. Examples of such codes are also provided. We also provide two methods one using ten...

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Published inTWMS journal of applied and engineering mathematics Vol. 12; no. 3; p. 996
Main Authors Das, Pankaj Kumar, Kumar, Subodh
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.07.2022
Elman Hasanoglu
Subjects
Burst mode
Codes
Communication channels
Engineering research
Error correction
Error detection
Error-correcting codes
Linear codes
Mathematics
Tensors
India
Online AccessGet full text
ISSN2146-1147
2146-1147

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Abstract The paper gives necessary and sufficient conditions for the existence of linear codes capable of identifying burst/repeated burst errors whether it is confined to one sub-block or spread over two adjacent sub-blocks. Examples of such codes are also provided. We also provide two methods one using tensor product and other using cyclic code to construct such codes. Finally, comparisons on the number of check digits of such codes with the corresponding error detecting and correcting codes are also provided. Keywords: Syndromes, Bounds, Bursts, Repeated bursts, Error locating codes. AMS Subject Classification: 94B05, 94B65.
AbstractList The paper gives necessary and sufficient conditions for the existence of linear codes capable of identifying burst/repeated burst errors whether it is confined to one sub-block or spread over two adjacent sub-blocks. Examples of such codes are also provided. We also provide two methods one using tensor product and other using cyclic code to construct such codes. Finally, comparisons on the number of check digits of such codes with the corresponding error detecting and correcting codes are also provided. Keywords: Syndromes, Bounds, Bursts, Repeated bursts, Error locating codes. AMS Subject Classification: 94B05, 94B65.
The paper gives necessary and su cient conditions for the existence of lin- ear codes capable of identifying burst/repeated burst errors whether it is con ned to one sub-block or spread over two adjacent sub-blocks. Examples of such codes are also provided. We also provide two methods one using tensor product and other using cyclic code to construct such codes. Finally, comparisons on the number of check digits of such codes with the corresponding error detecting and correcting codes are also provided.
The paper gives necessary and sufficient conditions for the existence of linear codes capable of identifying burst/repeated burst errors whether it is confined to one sub-block or spread over two adjacent sub-blocks. Examples of such codes are also provided. We also provide two methods one using tensor product and other using cyclic code to construct such codes. Finally, comparisons on the number of check digits of such codes with the corresponding error detecting and correcting codes are also provided.
Audience Academic
Author Das, Pankaj Kumar
Kumar, Subodh
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Elman Hasanoglu
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Snippet The paper gives necessary and sufficient conditions for the existence of linear codes capable of identifying burst/repeated burst errors whether it is confined...
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SubjectTerms Burst mode
Codes
Communication channels
Engineering research
Error correction
Error detection
Error-correcting codes
Linear codes
Mathematics
Tensors
Title LOCATION OF BURST AND REPEATED BURST ERROR IN SINGLE AND ADJACENT SUB-BLOCKS
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