Innovative approaches to secure communication for smart logistics
Quantum Computing and Artificial Intelligence in Logistics and Supply Chain Management, CRC Press, ss.267-303, 2025
- Yayın Türü: Kitapta Bölüm / Araştırma Kitabı
- Basım Tarihi: 2025
- Doi Numarası: 10.1201/9781003498292-17
- Yayınevi: CRC Press
- Sayfa Sayıları: ss.267-303
- Kırklareli Üniversitesi Adresli: Evet
Özet
This chapter addresses the essential role of cryptographic security in protecting sensitive information and ensuring privacy in an increasingly digital world. Central to this security is the use of cryptographic protocols that leverage computational techniques and mathematical principles to maintain confidentiality and integrity. Here, upper triangular matrices, a specific class of square matrices with unique properties, play a significant role. Distinguished by having zero entries below the principal diagonal, these matrices support efficient computation and algorithmic manipulation, making them invaluable for cryptographic applications. This chapter examines their mathematical properties, especially their algebraic structure and computational efficiencies, to illustrate their practical use in encryption, key management, and secure communication protocols. Providing a historical context, this chapter reviews the evolution of matrix theory within cryptography, from early ciphers to sophisticated, modern techniques. It discusses the recent integration of matrix-based cryptographic techniques into emerging fields, including blockchain technology and advanced persistent threat (APT) defences, and offers insights from interdisciplinary areas such as data science and artificial ıntelligence. The analysis is supported by foundational research and recent advancements, which emphasize how upper triangular matrices enhance the reliability and trustworthiness of cryptographic systems. Additionally, the study compares upper triangular matrices with other matrix types, discussing their respective strengths and limitations in high-stakes environments such as financial and governmental communications. Real-world case studies and practical implementation examples provide insights into the matrix’s utility in cryptographic settings. Further, the chapter presents a Python-based approach combining upper triangular matrices with the Hill cipher and a logic map, specifically enhancing sensitivity to Turkish characters and expanding character limits. This is complemented by hash function examples for added cryptographic robustness, showcasing the flexibility of upper triangular matrices as crucial assets in the evolving field of cryptographic security, particularly in scenarios requiring robust, efficient encryption and integrity. This exploration solidifies upper triangular matrices as foundational yet adaptable tools for safeguarding modern communication.