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International Journal of Information and Computer Security

Robust Message Authentication in the context of Quantum Key Distribution

Jothi Rangasamy, Dillibabu Shanmugam

Published Jan 1, 2022• 0 citations
Publisher
DOI
10.1504/ijics.2022.10044643

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We study the security of a specific authentication procedure of interest in the context of Quantum Key Distribution (QKD). It works as follows: use a secret but fixed Strongly Universal$_2$ (SU$_2$) hash function and encrypt the output tag with a one-time pad (OTP). If the OTP is completely secret, the expected time for an adversary to create a tag for a chosen message is exponential in the tag length. If, however, the OTP is partially known in each authentication round, as is the case in practical QKD protocols, then the picture is different; the adversary's partial knowledge of the OTP in each authentication round gives partial information on the secret hash function, and this weakens the authentication in later rounds. The effect of this is that the lifetime of the system is linear in the length of the fixed key. This is supported by the composability theorem for QKD, that in this setting provides an upper bound to the security loss on the secret hash function, which is exponential in the number of authentication rounds. This needs to be taken into account when using the protocol, since the authentication gets weakened at each subsequent round and thus the QKD generated is key is not as strong as when the authentication is strong. Some countermeasures are discussed at the end of this paper.

arXiv:1109.5168•Sep 23, 2011•10 citations
Universal hashing-based message authentication code (MAC) is used as the de facto method to achieve information-theoretically secure authentication in quantum key distribution. We present a critical look at the most widely used type, namely Wegman-Carter MAC based on polynomial hashing and analyse its robustness against physical attacks exploiting side information. In particular, we mount a classical DPA attack on the hash part of the Wegman-Carter MAC which leads to a possible intercept-and-resend attack on the BB84-like QKD protocols. We illustrate this case with polynomial-evaluation MACs as their variants are used in commercial QKD systems. We show that our attack methodology is much simpler compared to that of Belaid et al. at ASIACRYPT 2014. Finally, we present an algebraic countermeasure so that the resulting MAC is not susceptible to the identified attack.
Although key distribution is arguably the most studied context on which to apply quantum cryptographic techniques, message authentication, i.e., certifying the identity of the message originator and the integrity of the message sent, can also benefit from the use of quantum resources. Classically, message authentication can be performed by techniques based on hash functions. However, the security of the resulting protocols depends on the selection of appropriate hash functions, and on the use of long authentication keys. In this paper, we propose a quantum authentication procedure that, making use of just one qubit as the authentication key, allows the authentication of binary classical messages in a secure manner.
We study the security of a specific authentication procedure of interest in the context of Quantum Key Distribution (QKD). It works as follows: use a secret but fixed Strongly Universal2_22​ (SU2_22​) hash function and encrypt the output tag with a one-time pad (OTP). If the OTP is completely secret, the expected time for an adversary to create a tag for a chosen message is exponential in the tag length. If, however, the OTP is partially known in each authentication round, as is the case in practical QKD protocols, then the picture is different; the adversary's partial knowledge of the OTP in each authentication round gives partial information on the secret hash function, and this weakens the authentication in later rounds. The effect of this is that the lifetime of the system is linear in the length of the fixed key. This is supported by the composability theorem for QKD, that in this setting provides an upper bound to the security loss on the secret hash function, which is exponential in the number of authentication rounds. This needs to be taken into account when using the protocol, since the authentication gets weakened at each subsequent round and thus the QKD generated is key is not as strong as when the authentication is strong. Some countermeasures are discussed at the end of this paper.