Probability of erroneous decoding for integer codes correcting burst asymmetric/unidirectional/symmetric errors within a byte and up to double asymmetric errors between two bytes
In this paper, we determine the probability of erroneous decoding of integer codes capable of correcting asymmetric CT-bursts, unidirectional solid bursts, and symmetric bursts within a b-bit byte. Also, the probability of erroneous decoding is determined for integer codes correcting single and doub...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-04-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://www.sciencedirect.com/science/article/pii/S2307410823000111 |
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| author | Nabin Kumar Pokhrel Pankaj Kumar Das |
| author_facet | Nabin Kumar Pokhrel Pankaj Kumar Das |
| author_sort | Nabin Kumar Pokhrel |
| collection | DOAJ |
| description | In this paper, we determine the probability of erroneous decoding of integer codes capable of correcting asymmetric CT-bursts, unidirectional solid bursts, and symmetric bursts within a b-bit byte. Also, the probability of erroneous decoding is determined for integer codes correcting single and double asymmetric errors occurring within and between any two b-bit bytes. In order to confirm the validity of the obtained results, we compare some of them with experimental results from the works of other authors. In addition, we analyze how the probability of erroneous decoding changes depending on the bit error rate and the code rate. The study ends with a result based on undetected errors for codes correcting asymmetric CT-bursts.
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| format | Article |
| id | doaj-art-c2bf66b911c44abe9ed4cfe5c3a93a8b |
| institution | DOAJ |
| issn | 2307-4116 |
| language | English |
| publishDate | 2023-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-c2bf66b911c44abe9ed4cfe5c3a93a8b2025-08-20T03:22:15ZengElsevierKuwait Journal of Science2307-41162023-04-015027582https://doi.org/10.1016/j.kjs.2023.02.011Probability of erroneous decoding for integer codes correcting burst asymmetric/unidirectional/symmetric errors within a byte and up to double asymmetric errors between two bytesNabin Kumar Pokhrel0Pankaj Kumar Das1Department of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, Assam-784028, IndiaDepartment of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, Assam-784028, IndiaIn this paper, we determine the probability of erroneous decoding of integer codes capable of correcting asymmetric CT-bursts, unidirectional solid bursts, and symmetric bursts within a b-bit byte. Also, the probability of erroneous decoding is determined for integer codes correcting single and double asymmetric errors occurring within and between any two b-bit bytes. In order to confirm the validity of the obtained results, we compare some of them with experimental results from the works of other authors. In addition, we analyze how the probability of erroneous decoding changes depending on the bit error rate and the code rate. The study ends with a result based on undetected errors for codes correcting asymmetric CT-bursts. https://www.sciencedirect.com/science/article/pii/S2307410823000111integer codesasymmetric ct-burstunidirectional solid burstsymmetric burstprobabilitybit error rate |
| spellingShingle | Nabin Kumar Pokhrel Pankaj Kumar Das Probability of erroneous decoding for integer codes correcting burst asymmetric/unidirectional/symmetric errors within a byte and up to double asymmetric errors between two bytes Kuwait Journal of Science integer codes asymmetric ct-burst unidirectional solid burst symmetric burst probability bit error rate |
| title | Probability of erroneous decoding for integer codes correcting burst asymmetric/unidirectional/symmetric errors within a byte and up to double asymmetric errors between two bytes |
| title_full | Probability of erroneous decoding for integer codes correcting burst asymmetric/unidirectional/symmetric errors within a byte and up to double asymmetric errors between two bytes |
| title_fullStr | Probability of erroneous decoding for integer codes correcting burst asymmetric/unidirectional/symmetric errors within a byte and up to double asymmetric errors between two bytes |
| title_full_unstemmed | Probability of erroneous decoding for integer codes correcting burst asymmetric/unidirectional/symmetric errors within a byte and up to double asymmetric errors between two bytes |
| title_short | Probability of erroneous decoding for integer codes correcting burst asymmetric/unidirectional/symmetric errors within a byte and up to double asymmetric errors between two bytes |
| title_sort | probability of erroneous decoding for integer codes correcting burst asymmetric unidirectional symmetric errors within a byte and up to double asymmetric errors between two bytes |
| topic | integer codes asymmetric ct-burst unidirectional solid burst symmetric burst probability bit error rate |
| url | https://www.sciencedirect.com/science/article/pii/S2307410823000111 |
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