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Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte

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2020
Authors
Radonjić, Aleksandar
Article (Accepted Version)
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Abstract
This article presents a class of integer codes that are suitable for use in optical computer networks in which the data are transmitted serially. The presented codes are constructed with the help of a computer and have three desirable properties. First, they use integer and lookup table operations, which make them suitable for software implementation. Second, depending on the application requirements, the proposed codes can be used as low-rate error correction (EC) codes or as high-rate error detection (ED) codes. In the EC mode, which is suited for realtime applications, the receiver can correct all single and double errors, as well as all triple-adjacent (TA) errors within one b-bit byte. On the other hand, if the integrity of data is of high importance, the receiver may operate in the ED mode. In that case, it is able to detect all quadruple errors, all double TA errors within one b-bit byte, and all double TA errors within two b-bit bytes. Finally, it is important to note that the ...presented codes can be interleaved without delay and without using any additional hardware. Owing to this, it is possible to construct simple codes capable of detecting/correcting multiple TA and random errors.

Keywords:
integer codes / optical computer networks / error control / single errors / double errors / triple-adjacent errors
Source:
IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 2020, 28, 8, 1901-1908
Publisher:
  • Institute of Electrical and Electronics Engineers (IEEE)
Projects:
  • Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 451-03-68/2020-14/200175 (Institute of Technical Sciences of SASA, Belgrade) (RS-200175)
Note:
  • This is the peer-reviewed version of the paper: Radonjic, A., 2020. Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte. IEEE Transactions on Very Large Scale Integration (VLSI) Systems 28, 1901–1908. https://doi.org/10.1109/TVLSI.2020.2998364
  • © 20XX IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

DOI: 10.1109/TVLSI.2020.2998364

ISSN: 1063-8210; 1557-9999

WoS: 000554897100014

Scopus: 2-s2.0-85087500166
[ Google Scholar ]
1
1
URI
https://dais.sanu.ac.rs/123456789/9990
Collections
  • ITN SANU - Opšta kolekcija / ITS SASA - General collection
Institution
Институт техничких наука САНУ / Institute of Technical Sciences of SASA
TY  - JOUR
AU  - Radonjić, Aleksandar
PY  - 2020
UR  - https://dais.sanu.ac.rs/123456789/9990
AB  - This article presents a class of integer codes that are suitable for use in optical computer networks in which the data are transmitted serially. The presented codes are constructed with the help of a computer and have three desirable properties. First, they use integer and lookup table operations, which make them suitable for software implementation. Second, depending on the application requirements, the proposed codes can be used as low-rate error correction (EC) codes or as high-rate error detection (ED) codes. In the EC mode, which is suited for realtime applications, the receiver can correct all single and double errors, as well as all triple-adjacent (TA) errors within one b-bit byte. On the other hand, if the integrity of data is of high importance, the receiver may operate in the ED mode. In that case, it is able to detect all quadruple errors, all double TA errors within one b-bit byte, and all double TA errors within two b-bit bytes. Finally, it is important to note that the presented codes can be interleaved without delay and without using any additional hardware. Owing to this, it is possible to construct simple codes capable of detecting/correcting multiple TA and random errors.
PB  - Institute of Electrical and Electronics Engineers (IEEE)
T2  - IEEE Transactions on Very Large Scale Integration (VLSI) Systems
T1  - Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte
SP  - 1901
EP  - 1908
VL  - 28
IS  - 8
DO  - 10.1109/TVLSI.2020.2998364
ER  - 
@article{
author = "Radonjić, Aleksandar",
year = "2020",
url = "https://dais.sanu.ac.rs/123456789/9990",
abstract = "This article presents a class of integer codes that are suitable for use in optical computer networks in which the data are transmitted serially. The presented codes are constructed with the help of a computer and have three desirable properties. First, they use integer and lookup table operations, which make them suitable for software implementation. Second, depending on the application requirements, the proposed codes can be used as low-rate error correction (EC) codes or as high-rate error detection (ED) codes. In the EC mode, which is suited for realtime applications, the receiver can correct all single and double errors, as well as all triple-adjacent (TA) errors within one b-bit byte. On the other hand, if the integrity of data is of high importance, the receiver may operate in the ED mode. In that case, it is able to detect all quadruple errors, all double TA errors within one b-bit byte, and all double TA errors within two b-bit bytes. Finally, it is important to note that the presented codes can be interleaved without delay and without using any additional hardware. Owing to this, it is possible to construct simple codes capable of detecting/correcting multiple TA and random errors.",
publisher = "Institute of Electrical and Electronics Engineers (IEEE)",
journal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems",
title = "Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte",
pages = "1901-1908",
volume = "28",
number = "8",
doi = "10.1109/TVLSI.2020.2998364"
}
Radonjić A. Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte. IEEE Transactions on Very Large Scale Integration (VLSI) Systems. 2020;28(8):1901-1908
,& Radonjić, A. (2020). Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte.
IEEE Transactions on Very Large Scale Integration (VLSI) SystemsInstitute of Electrical and Electronics Engineers (IEEE)., 28(8), 1901-1908. 
https://doi.org/10.1109/TVLSI.2020.2998364
Radonjić Aleksandar, "Integer Codes Correcting Double Errors and Triple-Adjacent Errors Within a Byte" 28, no. 8 (2020):1901-1908,
https://doi.org/10.1109/TVLSI.2020.2998364 .

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