This paper reports on higher-order square analysis of the AES cipher. We present experimental results of attack simulations on mini-AES versions with word sizes of 3, 4, 5, 6 and 7 bits and describe the propagation of higher-order Lambda-sets inside some of these distinguishers. A possible explanation of the length of the square distinguishers uses the concept of higher-order derivatives of discrete mappings.
@InProceedings{nakahara_et_al:DagSemProc.09031.9, author = {Nakahara, Jorge and Santana de Freitas, Daniel}, title = {{Mini-ciphers: a reliable testbed for cryptanalysis?}}, booktitle = {Symmetric Cryptography}, pages = {1--13}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2009}, volume = {9031}, editor = {Helena Handschuh and Stefan Lucks and Bart Preneel and Phillip Rogaway}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09031.9}, URN = {urn:nbn:de:0030-drops-19614}, doi = {10.4230/DagSemProc.09031.9}, annote = {Keywords: Mini-ciphers, higher-order square attacks} }
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