2017/03/02 by Masahito Hayashi, Masaki Owari, Hayashi, Masahito +5 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #FOS: Physical sciences #Information Theory (cs.IT) #Quantum Physics (quant-ph) #Wireless Communication Security Techniques #cs.IT #math.IT #quant-ph
paper · pdf · doi:10.48550/arxiv.1703.00723
We fixed several errors
openalex publication_date 2017/03/02 · openalex created_date 2017/12/04 · arxiv created 2018/09/26 · arxiv updated 2018/09/27 · openalex updated_date 2026/07/28
In network coding, we discuss the effect of sequential error injection on information leakage. We show that there is no improvement when the operations in the network are linear operations. However, when the operations in the network contains non-linear operations, we find a counterexample to improve Eve's obtained information. Furthermore, we discuss the asymptotic rate in a linear network under the secrecy and robustness conditions as well as under the secrecy condition alone. Finally, we apply our results to network quantum key distribution, which clarifies the type of network that enables us to realize secure long distance communication via short distance quantum key distribution.