The boomerang attack on the 4-round LILLIPUT-TBC-II-256 cipher
Prikladnaya Diskretnaya Matematika. Supplement, no. 16 (2023), pp. 81-84

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Lilliput-AE is a tweakable block cipher submitted as a candidate to the NIST lightweight cryptography standardization process. It is an OCB based authenticated encryption scheme using the block cipher Lilliput with a tweakey schedule (LILLIPUT-TBC). It has 128-bit blocks and supports key sizes of 128, 192, and 256 bits. Lilliput-AE has two particular authenticated encryption modes: Lilliput-I and Lilliput-II based respectively on a nonce-respecting mode and a nonce-misuse resistant mode. In this paper, we present an attack on the 4-round LILLIPUT-TBC-II-256 cipher with 256-bit security level using boomerang technique based on Yoyo tricks, which were firstly presented at ASIACRYPT 2017 to attack the AES block cipher. The attack requires $2^{180}$ encryptions. The data complexity is $2^{24}$ texts and the memory complexity is $2^{24{,}3}$ bit. The main result is obtained due to the simultaneous use of boomerang technique and the property of the diffusion transformation.
Keywords: lightweight cipher, yoyo tricks, authenticated encryption, linear transformation, $S$-box, OFB mode
Mots-clés : boomerang technique.
@article{PDMA_2023_16_a20,
     author = {M. A. Pudovkina and A. M. Smirnov},
     title = {The boomerang attack on the 4-round {LILLIPUT-TBC-II-256} cipher},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {81--84},
     publisher = {mathdoc},
     number = {16},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2023_16_a20/}
}
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M. A. Pudovkina; A. M. Smirnov. The boomerang attack on the 4-round LILLIPUT-TBC-II-256 cipher. Prikladnaya Diskretnaya Matematika. Supplement, no. 16 (2023), pp. 81-84. http://geodesic.mathdoc.fr/item/PDMA_2023_16_a20/