Cryptology ePrint Archive: Report 2021/1353

Noise-Tolerant Quantum Tokens for MAC

Amit Behera and Or Sattath and Uriel Shinar

Abstract: Message Authentication Code or MAC, is a well-studied cryptographic primitive that is used in order to authenticate communication between two parties sharing a secret key. A Tokenized MAC or TMAC is a related cryptographic primitive, introduced by Ben-David & Sattath (QCrypt'17) which allows limited signing authority to be delegated to third parties via the use of single-use quantum signing tokens. These tokens can be issued using the secret key, such that each token can be used to sign at most one document. We provide an elementary construction for TMAC based on BB84 states. Our construction can tolerate up to 14% noise, making it the first noise-tolerant TMAC construction. The simplicity of the quantum states required for our construction combined with its noise tolerance, makes it practically more feasible than the previous TMAC construction. The TMAC is existentially unforgeable against adversaries with signing and verification oracles (i.e., analogous to EUF-CMA security for MAC), assuming post-quantum one-way functions exist.

Category / Keywords: secret-key cryptography / quantum cryptography, authentication codes, message authentication codes, secret-key cryptography, one-way functions

Date: received 7 Oct 2021

Contact author: behera at post bgu ac il, shinaru at post bgu ac il, sattath at post bgu ac il

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Version: 20211012:060943 (All versions of this report)

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