Finding the maximum number of symbols for the 4b/10b line code with error correction

Masayuki Takeda; Nobuyuki Yamasaki

doi:10.1109/CANDARW.2019.00087

Finding the maximum number of symbols for the 4b/10b line code with error correction

Masayuki Takeda, Nobuyuki Yamasaki

Department of Information and Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

In this paper, we present 20 symbols for the error correcting 4b/10b line coding scheme, increasing the number of available symbols from the 18 originally proposed. The two additional symbols are used to supplement special control codes and increase compatibility with other line codes such as 8b/10b. In addition, we show that the 20 found is the maximum number of symbols possible for 4b/10b by formulating the problem as the maximum clique problem, an NP-hard problem. Finally, we show that the generalized problem of finding a set with the maximum number of symbols is NP-hard as well.

Original language	English
Title of host publication	Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	460-464
Number of pages	5
ISBN (Electronic)	9781728152684
DOIs	https://doi.org/10.1109/CANDARW.2019.00087
Publication status	Published - 2019 Nov
Event	7th International Symposium on Computing and Networking Workshops, CANDARW 2019 - Nagasaki, Japan Duration: 2019 Nov 26 → 2019 Nov 29

Publication series

Name	Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019

Conference

Conference	7th International Symposium on Computing and Networking Workshops, CANDARW 2019
Country	Japan
City	Nagasaki
Period	19/11/26 → 19/11/29

Keywords

4b/10b
8b/10b
NP-hard
The maximum clique problem

ASJC Scopus subject areas

Hardware and Architecture
Information Systems
Artificial Intelligence
Computer Networks and Communications

Access to Document

10.1109/CANDARW.2019.00087

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Cite this

Takeda, M., & Yamasaki, N. (2019). Finding the maximum number of symbols for the 4b/10b line code with error correction. In Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019 (pp. 460-464). [8951667] (Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CANDARW.2019.00087

Finding the maximum number of symbols for the 4b/10b line code with error correction. / Takeda, Masayuki; Yamasaki, Nobuyuki.

Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 460-464 8951667 (Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Takeda, M & Yamasaki, N 2019, Finding the maximum number of symbols for the 4b/10b line code with error correction. in Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019., 8951667, Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019, Institute of Electrical and Electronics Engineers Inc., pp. 460-464, 7th International Symposium on Computing and Networking Workshops, CANDARW 2019, Nagasaki, Japan, 19/11/26. https://doi.org/10.1109/CANDARW.2019.00087

Takeda M, Yamasaki N. Finding the maximum number of symbols for the 4b/10b line code with error correction. In Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 460-464. 8951667. (Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019). https://doi.org/10.1109/CANDARW.2019.00087

Takeda, Masayuki ; Yamasaki, Nobuyuki. / Finding the maximum number of symbols for the 4b/10b line code with error correction. Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 460-464 (Proceedings - 2019 7th International Symposium on Computing and Networking Workshops, CANDARW 2019).

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