Integer codes capable of correcting burst asymmetric errors

Pokhrel, Nabin Kumar; Das, Pankaj Kumar; Radonjic, Aleksandar

doi:10.1007/s12190-022-01770-7

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2023

Authors

Pokhrel, Nabin Kumar
Das, Pankaj Kumar
Radonjic, Aleksandar

Article (Published version)

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Abstract

In this paper, we present a class of integer codes capable of correcting burst asymmetric errors. The presented codes are constructed with the help of a computer and have the potential to be used in various practical systems, such as optical networks and VLSI memories. In order to evaluate the performance of the proposed codes, the paper analyzes the probability of erroneous decoding for different bit error rates. The presented codes are also analyzed from a rate-efficiency point of view. The obtained results show that for many data lengths they require less check-bits than optimal burst error correcting codes.

Keywords:

Performance / Error correction / Integer codes / Probability / Asymmetric errors / 94B35 / 94B60 / 94B65 / Asymmetric bursts / Lookup table / Syndromes / Asymmetric burst / bit error rate / bit-error rate / data length / error correction / paper analysis / practical systems / syndrome / table lookup

Source:
Journal of Applied Mathematics and Computing, 2023, 69, 771-784

Funding / projects:

UGC (India), CSIR-UGC Research Fellowship (Ref. No: 1112/(CSIR-UGC NET JUNE 2017)
Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200175 (Institute of Technical Sciences of SASA, Belgrade) (RS-200175)

DOI: 10.1007/s12190-022-01770-7

ISSN: 1865-2085

WoS: 00082171160000

Scopus: 2-s2.0-85133625672

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	1

TY  - JOUR
AU  - Pokhrel, Nabin Kumar
AU  - Das, Pankaj Kumar
AU  - Radonjic, Aleksandar
PY  - 2023
UR  - https://dais.sanu.ac.rs/123456789/13515
AB  - In this paper, we present a class of integer codes capable of correcting burst asymmetric errors. The presented codes are constructed with the help of a computer and have the potential to be used in various practical systems, such as optical networks and VLSI memories. In order to evaluate the performance of the proposed codes, the paper analyzes the probability of erroneous decoding for different bit error rates. The presented codes are also analyzed from a rate-efficiency point of view. The obtained results show that for many data lengths they require less check-bits than optimal burst error correcting codes.
T2  - Journal of Applied Mathematics and Computing
T1  - Integer codes capable of correcting burst asymmetric errors
SP  - 771
EP  - 784
VL  - 69
DO  - 10.1007/s12190-022-01770-7
UR  - https://hdl.handle.net/21.15107/rcub_dais_13515
ER  -

@article{
author = "Pokhrel, Nabin Kumar and Das, Pankaj Kumar and Radonjic, Aleksandar",
year = "2023",
abstract = "In this paper, we present a class of integer codes capable of correcting burst asymmetric errors. The presented codes are constructed with the help of a computer and have the potential to be used in various practical systems, such as optical networks and VLSI memories. In order to evaluate the performance of the proposed codes, the paper analyzes the probability of erroneous decoding for different bit error rates. The presented codes are also analyzed from a rate-efficiency point of view. The obtained results show that for many data lengths they require less check-bits than optimal burst error correcting codes.",
journal = "Journal of Applied Mathematics and Computing",
title = "Integer codes capable of correcting burst asymmetric errors",
pages = "771-784",
volume = "69",
doi = "10.1007/s12190-022-01770-7",
url = "https://hdl.handle.net/21.15107/rcub_dais_13515"
}

Pokhrel, N. K., Das, P. K.,& Radonjic, A.. (2023). Integer codes capable of correcting burst asymmetric errors. in Journal of Applied Mathematics and Computing, 69, 771-784.
https://doi.org/10.1007/s12190-022-01770-7
https://hdl.handle.net/21.15107/rcub_dais_13515

Pokhrel NK, Das PK, Radonjic A. Integer codes capable of correcting burst asymmetric errors. in Journal of Applied Mathematics and Computing. 2023;69:771-784.
doi:10.1007/s12190-022-01770-7
https://hdl.handle.net/21.15107/rcub_dais_13515 .

Pokhrel, Nabin Kumar, Das, Pankaj Kumar, Radonjic, Aleksandar, "Integer codes capable of correcting burst asymmetric errors" in Journal of Applied Mathematics and Computing, 69 (2023):771-784,
https://doi.org/10.1007/s12190-022-01770-7 .,
https://hdl.handle.net/21.15107/rcub_dais_13515 .