Cryptology ePrint Archive: Report 2021/1168

Toward a Fully Secure Authenticated Encryption Scheme From a Pseudorandom Permutation (Full Version)

Wonseok Choi and Byeonghak Lee and Jooyoung Lee and Yeongmin Lee

Abstract: In this paper, we propose a new block cipher-based authenticated encryption scheme, dubbed the Synthetic Counter with Masking~(SCM) mode. SCM follows the NSIV paradigm proposed by Peyrin and Seurin~(CRYPTO 2016), where a keyed hash function accepts a nonce N with associated data and a message, yielding an authentication tag T, and then the message is encrypted by a counter-like mode using both T and N. Here we move one step further by encrypting nonces; in the encryption part, the inputs to the block cipher are determined by T, counters, and an encrypted nonce, and all its outputs are also masked by an (additional) encrypted nonce, yielding keystream blocks.

As a result, we obtain, for the first time, a block cipher-based authenticated encryption scheme of rate 1/2 that provides n-bit security with respect to the query complexity (ignoring the influence of message length) in the nonce-respecting setting, and at the same time guarantees graceful security degradation in the faulty nonce model, when the underlying n-bit block cipher is modeled as a secure pseudorandom permutation. Seen as a slight variant of GCM-SIV, SCM is also parallelizable and inverse-free, and its performance is still comparable to GCM-SIV.

Category / Keywords: secret-key cryptography / authenticated encryption, beyond-birthday-bound security, nonce-misuse resistance, graceful degradation, block cipher

Original Publication (with minor differences): IACR-ASIACRYPT-2021

Date: received 12 Sep 2021, last revised 17 Sep 2021

Contact author: lbh0307 at kaist ac kr, hicalf at kaist ac kr

Available format(s): PDF | BibTeX Citation

Version: 20210917:103034 (All versions of this report)

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