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

TL;DR
This paper introduces efficient methods for designing local-encoding-preserving secure network codes that adapt to changing information rates and security levels without increasing field size, enhancing network security flexibility.
Contribution
It presents novel approaches for constructing LEP secure linear network codes adaptable to various rates and security levels, with polynomial-time algorithms and optimal field size considerations.
Findings
Constructed LEP SLNCs with increased security levels from existing codes.
Designed SLNCs applicable for all rate-security pairs with fixed dimension.
Proposed three constructions for universal LEP SLNC families.
Abstract
In the two-part paper, we consider the problem of secure network coding when the information rate and the security level can change over time. 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 (LEP) if all the SLNCs in this family share a common local encoding kernel at each intermediate node in the network. In this paper (Part II), we first consider the design of a family of LEP SLNCs for a fixed rate and a flexible security level. We present a novel and efficient approach for constructing upon an SLNC that exists an LEP SLNC with the same rate and the security level increased by one. Next, we consider the design of a family of LEP SLNCs for a fixed dimension (equal to the sum of rate and security level) and a flexible pair of rate and security…
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Taxonomy
TopicsCooperative Communication and Network Coding · Advanced Wireless Communication Technologies · Wireless Communication Security Techniques
