Local-Encoding-Preserving Secure Network Coding---Part I: Fixed Security Level
Xuan Guang, Raymond W. Yeung, and Fang-Wei Fu

TL;DR
This paper introduces a method for constructing secure network codes that preserve local encoding at each node, enabling flexible data rates while maintaining a fixed security level, with efficient algorithms and no additional field size requirements.
Contribution
It proposes a local-encoding-preserving approach for secure network coding with fixed security level and variable rates, including an efficient construction algorithm.
Findings
Constructed a family of local-encoding-preserving secure linear network codes.
Developed a polynomial-time algorithm for code construction.
Proved no penalty on field size requirements for the proposed approach.
Abstract
Information-theoretic security is considered in the paradigm of network coding in the presence of wiretappers, who can access one arbitrary edge subset up to a certain size, also referred to as the security level. Secure network coding is applied to prevent the leakage of the source information to the wiretappers. In this two-part paper, we consider the problem of secure network coding when the information rate and the security level can change over time. In the current paper (i.e., Part I of the two-part paper), we focus on the problem for a fixed security level and a flexible rate. To efficiently solve this problem, we put forward local-encoding-preserving secure network coding, where a family of secure linear network codes (SLNCs) is called local-encoding-preserving if all the SLNCs in this family share a common local encoding kernel at each intermediate node in the network. We…
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Taxonomy
TopicsCooperative Communication and Network Coding · Full-Duplex Wireless Communications · Advanced Wireless Communication Technologies
