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This report presents new four-round integral properties against the Rijndaelcipher with block sizes larger than 128 bits. Using higher-order multisetdistinguishers and other well-known extensions of those properties, the deducedattacks reach up to 7 and 8 rounds of Rijndael variants with 160 up to 256-bitblocks. For example, a 7-rounds attack against Rijndael-224 has a timecomplexity equal to $2^{80}$.

Improving Integral Cryptanalysis against Rijndael with Large Blocks