Integer codes capable of correcting burst asymmetric errors
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 / asymmetric bursts / lookup table / asymmetric burst / bit-error rate / data length / error correction / paper analysis / practical systems / syndrome / table lookupSource:
Journal of Applied Mathematics and Computing, 2023, 69, 771-784Funding / 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)
Note:
- This is the peer-reviewed version of the paper: Pokhrel, Nabin Kumar, Das, Pankaj Kumar, Radonjic, Aleksandar, "Integer codes capable of correcting burst asymmetric errors" in Journal of Applied Mathematics and Computing (2022), https://doi.org/10.1007/s12190-022-01770-7
Related info:
DOI: 10.1007/s12190-022-01770-7
ISSN: 1865-2085
WoS: 00082171160000
Scopus: 2-s2.0-85133625672
Institution/Community
Институт техничких наука САНУ / Institute of Technical Sciences of SASATY - JOUR AU - Pokhrel, Nabin Kumar AU - Das, Pankaj Kumar AU - Radonjic, Aleksandar PY - 2023 UR - https://dais.sanu.ac.rs/123456789/13578 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_13578 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_13578" }
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_13578
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_13578 .
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_13578 .
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