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At CHES 2007, Biryukov and Knovratovich introduced a concept of side-channel attacks based on impossible collisions, and applied it to AES with reduced masked rounds. In this paper, we propose side-channel attacks on HIGHT (HIGh security and light weigHT) with the first 11, 12, 13 reduced masked rounds using impossible collision. Our best attacks on HIGHT with the first 11, 12 and 13 reduced masked rounds need 217, 232 and 240 chosen plaintexts and 223.6, 256.6 and 280.6 curve comparisons, respectively. They are the first known side-channel attacks on HIGHT with reduced masked rounds.