現在製造型企業為了能夠提高生產效能與效益， 因而工業物聯網(IIOT)、智慧工廠發展盛行，在企業工 廠內部的製造生產設備、檢測儀器、和其他製造所用 之設備等，都有提供網路連線之功能。雖然這些設備 都能夠快速獲取即時製造資訊，並連上網路傳送資 料，但這些設備之間的相互通訊與資料的保護，目前 是一個具有挑戰的問題之一。鑑於這些 IIOT 的設備不 管是運算能力或者資源都是有受限且較為薄弱。在設 備能力與資源有限情況下，群組金鑰交換協議(Group Key Agreement protocol，GKAP)就是一個不錯的解決方 案之一。在眾多的群組金鑰協議中，Yang等人於 2023年提出了一個 Group Key Agreement Protocol Based on ECDH and Short Signature(GKA-SS)結合了橢圓曲 線 Diffie-Hellman (ECDH)金鑰交換協議以及短簽名的方式來生成群組金鑰協議，並驗證成員的身 份方式。此方法概念創新並具實務性，但效能上仍有 提升的空間。本文就是針對此協議架構再更近一步改 善其效能，針對通訊的訊息的認證與減少組成員的身 份驗證時間的優化。

In order to enhance production efficiency and effectiveness, manufacturing enterprises are increasingly adopting Industrial Internet of Things (IIOT) and smart factory initiatives. Within the factory premises, manufacturing production equipment, inspection instruments, and other devices used in manufacturing are equipped with networking capabilities. While these devices can rapidly access real-time manufacturing information and connect to the internet to transmit data, one of the current challenges lies in the communication between these devices and the protection of data.Given that these IIOT devices are often constrained in computational capability and resources, Group Key Agreement Protocol (GKAP) emerges as a viable solution. Among various group key agreement protocols, Yang et al.proposed a Group Key Agreement Protocol Based on ECDH and Short Signature (GKA-SS) in 2023, which combines Elliptic Curve Diffie-Hellman (ECDH) key exchange protocol with Short Signature (BLS) for generating group key agreements and validating member identities. While this approach is innovative and practical, there is still room for improvement in terms of performance.This paper aims to further enhance the efficiency of this protocol framework, focusing on optimizing message authentication and reducing the time required for member identity verification during communication.

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