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arXiv · 2509.25113

Two-Dimensional XOR-Based Secret Sharing for Layered Multipath Communication

Wai Ming Chan·Remi Chou·Taejoon Kim
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Abstract

This paper introduces the first two-dimensional XOR-based secret sharing scheme for layered multipath communication networks. We present a construction that guarantees successful message recovery and perfect privacy when an adversary observes and disrupts any single path at each transmission layer. The scheme achieves information-theoretic security using only bitwise XOR operations with linear $O(|S|)$ complexity, where $|S|$ is the message length. We provide mathematical proofs demonstrating that the scheme maintains unconditional security regardless of computational resources available to adversaries. Unlike encryption-based approaches vulnerable to quantum computing advances, our construction offers provable security suitable for resource-constrained military environments where computational assumptions may fail.

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Wai Ming Chan, Remi Chou, Taejoon Kim. 2025-09-29. Two-Dimensional XOR-Based Secret Sharing for Layered Multipath Communication. https://arxiv.org/abs/2509.25113

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