Rebound Attack on the Full Lane Compression Function

In this work, we apply the rebound attack to the AES based SHA-3 candidate Lane. The hash function Lane uses a permutation based compression function, consisting of a linear message expansion and 6 parallel lanes. In the rebound attack on Lane, we apply several new techniques to construct a collision for the full compression function of Lane-256 and Lane-512. Using a relatively sparse truncated differential path, we are able to solve for a valid message expansion and colliding lanes independently. Additionally, we are able to apply the inbound phase more than once by exploiting the degrees of freedom in the parallel AES states. This allows us to construct semi-free-start collisions for full Lane-256 with 296 compression function evaluations and 2^{88} memory, and for full Lane-512 with 2^{224} compression function evaluations and 2^{128} memory.