## CryptoDB

### Paper: SymSum: Symmetric-Sum Distinguishers Against Round Reduced SHA3

Authors: Dhiman Saha , Crypto Research Lab, Department of Computer Science and Engineering, IIT Kharagpur Sukhendu Kuila , Department of Mathematics, Vidyasagar University Dipanwita Roy Chowdhury , Crypto Research Lab, Department of Computer Science and Engineering, IIT Kharagpur DOI: 10.13154/tosc.v2017.i1.240-258 URL: http://tosc.iacr.org/index.php/ToSC/article/view/593 Search ePrint Search Google In this work we show the existence of special sets of inputs for which the sum of the images under SHA3 exhibits a symmetric property. We develop an analytical framework which accounts for the existence of these sets. The framework constitutes identification of a generic property of iterated SPN based functions pertaining to the round-constant addition and combining it with the notion of m−fold vectorial derivatives for differentiation over specially selected subspaces. Based on this we propose a new distinguisher called SymSum for the SHA3 family which penetrates up to 9 rounds and outperforms the ZeroSum distinguisher by a factor of four. Interestingly, the current work is the first analysis of SHA3/Keccak that relies on round-constants but is independent of their Hamming-weights.
##### BibTeX
@article{tosc-2017-28098,
title={SymSum: Symmetric-Sum Distinguishers Against Round Reduced SHA3},
journal={IACR Trans. Symmetric Cryptol.},
publisher={Ruhr-Universität Bochum},
volume={2017, Issue 1},
pages={240-258},
url={http://tosc.iacr.org/index.php/ToSC/article/view/593},
doi={10.13154/tosc.v2017.i1.240-258},
author={Dhiman Saha and Sukhendu Kuila and Dipanwita Roy Chowdhury},
year=2017
}