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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
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Related Experiment Video

Updated: Jun 6, 2025

Quasi-light Storage for Optical Data Packets

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

New Variable-Weight Optical Orthogonal Codes with Weights 3 to 5.

Si-Yeon Pak¹, Hyo-Won Kim¹, DaeHan Ahn²

¹Department of AI Convergence, University of Ulsan, Ulsan 44610, Republic of Korea.

Entropy (Basel, Switzerland)

|November 27, 2024

Summary

This study presents a novel method for constructing variable-weight optical orthogonal codes (VW-OOCs) using ring structures and the Chinese Remainder Theorem, yielding optimal codes with unique parameters for optical networks.

Keywords:

multiple access optical codes optical networks

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Last Updated: Jun 6, 2025

Quasi-light Storage for Optical Data Packets

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Published on: February 6, 2014

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Published on: March 20, 2017

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Telecommunications Engineering
Coding Theory
Discrete Mathematics

Background:

Optical orthogonal codes (OOCs) are crucial for performance in optical networks.
OOCs are categorized into constant-weight (CW-OOCs) and variable-weight (VW-OOCs) based on codeword Hamming weights.
Existing construction methods for VW-OOCs have limitations.

Purpose of the Study:

To introduce a new method for constructing variable-weight optical orthogonal codes (VW-OOCs).
To utilize the structure of integer rings and the Chinese Remainder Theorem for code construction.
To explore specific VW-OOCs with weights 3, 4, and 5.

Main Methods:

Construction of VW-OOCs of length kp.
Application of integer ring structures.
Leveraging the Chinese Remainder Theorem.

Main Results:

A novel method for constructing VW-OOCs is presented.
Specific VW-OOCs with weights 3, 4, and 5 were successfully constructed.
The method yields optimal VW-OOCs with parameters not previously documented.

Conclusions:

The proposed construction method is effective for generating VW-OOCs.
This approach expands the available set of optimal VW-OOCs for optical networks.
The findings contribute to the advancement of optical network design and performance.