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Published in:
2012 | OriginalPaper | Chapter
Integral and Multidimensional Linear Distinguishers with Correlation Zero
Authors : Andrey Bogdanov, Gregor Leander, Kaisa Nyberg, Meiqin Wang
Published in: Advances in Cryptology – ASIACRYPT 2012
Publisher: Springer Berlin Heidelberg
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Zero-correlation cryptanalysis uses linear approximations holding with probability exactly 1/2. In this paper, we reveal fundamental links of zero-correlation distinguishers to integral distinguishers and multidimensional linear distinguishers. We show that an integral implies zero-correlation linear approximations and that a zero-correlation linear distinguisher is actually a special case of multidimensional linear distinguishers. These observations provide new insight into zero-correlation cryptanalysis which is illustrated by attacking a Skipjack variant and round-reduced CAST-256 without weak key assumptions.