Abstract
Hierarchical secret sharing schemes are known for how they share a secret among a group of participants partitioned into levels. In this study, we apply the general concept of hierarchy to Kurihara et al.’s XOR-based secret sharing scheme and propose a hierarchical secret sharing scheme applicable at any level. In our scheme, a minimal number of higher-level participants are required for recovery of the secret. Such hierarchical schemes applicable at any level over finite fields have been proposed, but no XOR-based hierarchical schemes applicable at any level have been reported. We realize the first such scheme. Moreover, considering practical use, we present an evaluation of our software implementation.
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Acknowledgments
The authors would like to thank the anonymous reviewers for their helpful and constructive comments. This work was supported by JSPS KAKENHI Grant Number JP18K11306.
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Shima, K., Doi, H. (2018). XOR-Based Hierarchical Secret Sharing Scheme. In: Inomata, A., Yasuda, K. (eds) Advances in Information and Computer Security. IWSEC 2018. Lecture Notes in Computer Science(), vol 11049. Springer, Cham. https://doi.org/10.1007/978-3-319-97916-8_14
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