Integer codes correcting/detecting burst errors within one byte and detecting burst errors within two bytes
Само за регистроване кориснике
2024
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
This paper presents two classes of integer codes that are suitable for use in local area networks. The first class of codes can correct h-bit burst errors within one b-bit byte and detect l-bit burst errors within one b-bit byte (1 ≤ h < l < b), while the second class of codes, in addition to correcting/detecting the mentioned types of errors, can also detect d-bit burst errors within two b-bit bytes (1 ≤ d < b). Both classes of codes are defined over integer rings and are generated by computer search. To evaluate the performance of both classes of codes, we analyze their probabilities of incorrect decoding for binary symmetric and bursty channel.
Кључне речи:
integer codes / burst errors / error correction / error detectionИзвор:
Computational and Applied Mathematics, 2024, 43, 2Издавач:
- Springer Science and Business Media LLC
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200175 (Институт техничких наука САНУ, Београд) (RS-MESTD-inst-2020-200175)
Институција/група
Институт техничких наука САНУ / Institute of Technical Sciences of SASATY - JOUR AU - Radonjić, Aleksandar AU - Vujičić, Vladimir PY - 2024 UR - https://dais.sanu.ac.rs/123456789/16385 AB - This paper presents two classes of integer codes that are suitable for use in local area networks. The first class of codes can correct h-bit burst errors within one b-bit byte and detect l-bit burst errors within one b-bit byte (1 ≤ h < l < b), while the second class of codes, in addition to correcting/detecting the mentioned types of errors, can also detect d-bit burst errors within two b-bit bytes (1 ≤ d < b). Both classes of codes are defined over integer rings and are generated by computer search. To evaluate the performance of both classes of codes, we analyze their probabilities of incorrect decoding for binary symmetric and bursty channel. PB - Springer Science and Business Media LLC T2 - Computational and Applied Mathematics T1 - Integer codes correcting/detecting burst errors within one byte and detecting burst errors within two bytes VL - 43 IS - 2 DO - 10.1007/s40314-023-02435-2 UR - https://hdl.handle.net/21.15107/rcub_dais_16385 ER -
@article{ author = "Radonjić, Aleksandar and Vujičić, Vladimir", year = "2024", abstract = "This paper presents two classes of integer codes that are suitable for use in local area networks. The first class of codes can correct h-bit burst errors within one b-bit byte and detect l-bit burst errors within one b-bit byte (1 ≤ h < l < b), while the second class of codes, in addition to correcting/detecting the mentioned types of errors, can also detect d-bit burst errors within two b-bit bytes (1 ≤ d < b). Both classes of codes are defined over integer rings and are generated by computer search. To evaluate the performance of both classes of codes, we analyze their probabilities of incorrect decoding for binary symmetric and bursty channel.", publisher = "Springer Science and Business Media LLC", journal = "Computational and Applied Mathematics", title = "Integer codes correcting/detecting burst errors within one byte and detecting burst errors within two bytes", volume = "43", number = "2", doi = "10.1007/s40314-023-02435-2", url = "https://hdl.handle.net/21.15107/rcub_dais_16385" }
Radonjić, A.,& Vujičić, V.. (2024). Integer codes correcting/detecting burst errors within one byte and detecting burst errors within two bytes. in Computational and Applied Mathematics Springer Science and Business Media LLC., 43(2). https://doi.org/10.1007/s40314-023-02435-2 https://hdl.handle.net/21.15107/rcub_dais_16385
Radonjić A, Vujičić V. Integer codes correcting/detecting burst errors within one byte and detecting burst errors within two bytes. in Computational and Applied Mathematics. 2024;43(2). doi:10.1007/s40314-023-02435-2 https://hdl.handle.net/21.15107/rcub_dais_16385 .
Radonjić, Aleksandar, Vujičić, Vladimir, "Integer codes correcting/detecting burst errors within one byte and detecting burst errors within two bytes" in Computational and Applied Mathematics, 43, no. 2 (2024), https://doi.org/10.1007/s40314-023-02435-2 ., https://hdl.handle.net/21.15107/rcub_dais_16385 .
Related items
Showing items related by title, author, creator and subject.
-
Integer codes capable of correcting burst asymmetric errors
Pokhrel, Nabin Kumar; Das, Pankaj Kumar; Radonjic, Aleksandar (Springer, 2023) -
Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte
Radonjić, Aleksandar (Institute of Electrical and Electronics Engineers (IEEE), 2020) -
Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte
Radonjić, Aleksandar (Institute of Electrical and Electronics Engineers (IEEE), 2020)