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Anonymous Broadcast Authentication with Logarithmic-Order Ciphertexts from LWE

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Cryptology and Network Security (CANS 2023)

Abstract

We propose an anonymous broadcast authentication (ABA) scheme to simultaneously control massive numbers of devices within practical resources. As a theoretical foundation, we find a barrier to construct an ABA working with a larger number of devices: there is a trilemma between (i) security, (ii) ciphertext length, and (iii) freedom in the target devices selection. For practical use, we propose ABAs with a ciphertext size of \(O(\log N)\) where N is the number of target devices while we impose a certain restriction on (iii). We provide an ABA template and instantiate it into a specific scheme from the learning with errors (LWE) problem. Then, we give estimation of size and timing resources.

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Acknowledgement

This research was in part conducted under a contract of “Research and development on IoT malware removal/make it non-functional technologies for effective use of the radio spectrum” among “Research and Development for Expansion of Radio Wave Resources (JPJ000254)”, which was supported by the Ministry of Internal Affairs and Communications, Japan. This work was in part supported by JSPS KAKENHI Grant Number JP22H03590.

We thank the anonymous reviewers for their careful readings and insightful comments that improve the quality of the manuscript.

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Correspondence to Yoshinori Aono .

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Aono, Y., Shikata, J. (2023). Anonymous Broadcast Authentication with Logarithmic-Order Ciphertexts from LWE. In: Deng, J., Kolesnikov, V., Schwarzmann, A.A. (eds) Cryptology and Network Security. CANS 2023. Lecture Notes in Computer Science, vol 14342. Springer, Singapore. https://doi.org/10.1007/978-981-99-7563-1_2

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  • DOI: https://doi.org/10.1007/978-981-99-7563-1_2

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