DAIS - Digital Archive of the Serbian Academy of Sciences and Arts
    • English
    • Српски
    • Српски (Serbia)
  • English 
    • English
    • Serbian (Cyrillic)
    • Serbian (Latin)
  • Login
View Item 
  •   DAIS
  • Институт техничких наука САНУ / Institute of Technical Sciences of SASA
  • ИТН САНУ - Општа колекција / ITS SASA - General collection
  • View Item
  •   DAIS
  • Институт техничких наука САНУ / Institute of Technical Sciences of SASA
  • ИТН САНУ - Општа колекција / ITS SASA - General collection
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Integer codes correcting single asymmetric errors

Authorized Users Only
2021
Authors
Radonjic, Aleksandar
Article (Published version)
Metadata
Show full item record
Abstract
This paper presents a class of integer codes capable of correcting single asymmetric errors. The presented codes are defined over the ring of integers modulo 2b– 1 and are constructed with the help of a computer. The results of an exhaustive search have shown that, for practical lengths up to 4096 bits, the proposed codes use the same number of check bits as the best systematic single asymmetric error-correcting codes (SAECCs). Besides this, it is found that for some lengths the presented codes are perfect. Finally, the paper shows that the encoding/decoding complexity of the proposed codes is notably lower than that of the best systematic SAECCs.
Keywords:
integer codes / single asymmetric errors / error correction / perfect codes
Source:
Annals of Telecommunications, 2021, 76, 1-2, 109-113
Publisher:
  • Springer Science and Business Media LLC
Funding / projects:
  • Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200175 (Institute of Technical Sciences of SASA, Belgrade) (RS-200175)
Note:
  • Peer-reviewed manuscript: https://hdl.handle.net/21.15107/rcub_dais_11654
Related info:
  • Version of
    https://hdl.handle.net/21.15107/rcub_dais_11654

DOI: 10.1007/s12243-020-00816-w

ISSN: 0003-4347; 1958-9395

WoS: 000607469100001

Scopus: 2-s2.0-85099181468
[ Google Scholar ]
1
Handle
https://hdl.handle.net/21.15107/rcub_dais_11652
URI
https://dais.sanu.ac.rs/123456789/11652
Collections
  • ИТН САНУ - Општа колекција / ITS SASA - General collection
Institution/Community
Институт техничких наука САНУ / Institute of Technical Sciences of SASA
TY  - JOUR
AU  - Radonjic, Aleksandar
PY  - 2021
UR  - https://dais.sanu.ac.rs/123456789/11652
AB  - This paper presents a class of integer codes capable of correcting single asymmetric errors. The presented codes are defined over the ring of integers modulo 2b– 1 and are constructed with the help of a computer. The results of an exhaustive search have shown that, for practical lengths up to 4096 bits, the proposed codes use the same number of check bits as the best systematic single asymmetric error-correcting codes (SAECCs). Besides this, it is found that for some lengths the presented codes are perfect. Finally, the paper shows that the encoding/decoding complexity of the proposed codes is notably lower than that of the best systematic SAECCs.
PB  - Springer Science and Business Media LLC
T2  - Annals of Telecommunications
T1  - Integer codes correcting single asymmetric errors
SP  - 109
EP  - 113
VL  - 76
IS  - 1-2
DO  - 10.1007/s12243-020-00816-w
UR  - https://hdl.handle.net/21.15107/rcub_dais_11652
ER  - 
@article{
author = "Radonjic, Aleksandar",
year = "2021",
abstract = "This paper presents a class of integer codes capable of correcting single asymmetric errors. The presented codes are defined over the ring of integers modulo 2b– 1 and are constructed with the help of a computer. The results of an exhaustive search have shown that, for practical lengths up to 4096 bits, the proposed codes use the same number of check bits as the best systematic single asymmetric error-correcting codes (SAECCs). Besides this, it is found that for some lengths the presented codes are perfect. Finally, the paper shows that the encoding/decoding complexity of the proposed codes is notably lower than that of the best systematic SAECCs.",
publisher = "Springer Science and Business Media LLC",
journal = "Annals of Telecommunications",
title = "Integer codes correcting single asymmetric errors",
pages = "109-113",
volume = "76",
number = "1-2",
doi = "10.1007/s12243-020-00816-w",
url = "https://hdl.handle.net/21.15107/rcub_dais_11652"
}
Radonjic, A.. (2021). Integer codes correcting single asymmetric errors. in Annals of Telecommunications
Springer Science and Business Media LLC., 76(1-2), 109-113.
https://doi.org/10.1007/s12243-020-00816-w
https://hdl.handle.net/21.15107/rcub_dais_11652
Radonjic A. Integer codes correcting single asymmetric errors. in Annals of Telecommunications. 2021;76(1-2):109-113.
doi:10.1007/s12243-020-00816-w
https://hdl.handle.net/21.15107/rcub_dais_11652 .
Radonjic, Aleksandar, "Integer codes correcting single asymmetric errors" in Annals of Telecommunications, 76, no. 1-2 (2021):109-113,
https://doi.org/10.1007/s12243-020-00816-w .,
https://hdl.handle.net/21.15107/rcub_dais_11652 .

DSpace software copyright © 2002-2015  DuraSpace
About DAIS - Digital Archive of the Serbian Academy of Sciences and Arts | Send Feedback

re3dataOpenAIRERCUB
 

 

All of DSpaceInstitutions/communitiesAuthorsTitlesSubjectsThis institutionAuthorsTitlesSubjects

Statistics

View Usage Statistics

DSpace software copyright © 2002-2015  DuraSpace
About DAIS - Digital Archive of the Serbian Academy of Sciences and Arts | Send Feedback

re3dataOpenAIRERCUB