Paper 2008/519

Collision attack on NaSHA-512

Li Ji, Xu Liangyu, and Guan Xu


The hash function NaSHA is a new algorithm proposed for SHA-3. It follows the wide-pipe structure and compression function adopts quasigroup transformations. These properties of operation in quasigroup raise obstacles to analysis. However, The high probability difference to cause inner collision can be found in the quasigroup transformations. We propose a collision attack to NaSHA-512 with the complexity is 2^{192}, which is lower than the complexity of birthday attack to NaSHA-512. Using the similar method, we can find free-start collision on all versions with negligible complexity.

Note: revise typo

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Published elsewhere. hash functions
Contact author(s)
Ji Li @ sony com cn
2009-02-23: last of 2 revisions
2008-12-16: received
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      author = {Li Ji and Xu Liangyu and Guan Xu},
      title = {Collision attack on NaSHA-512},
      howpublished = {Cryptology ePrint Archive, Paper 2008/519},
      year = {2008},
      note = {\url{}},
      url = {}
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