Rationale and analysis of BLAKE
Kalpesh R Rakholiya, Dhaval Kathiriya · GLOBAL JOURNAL FOR RESEARCH ANALYSIS · 2012
This is equivalent to say that, respectively: 1. For all i = 0, . . . , 15, there should exist no distinct permutations σ, σ′ such that σ(i) = σ′(i). 2. No pair (i, j) should appear twice at a position of the form (2k, 2k + 1), for all k = 0, . . . , 7. 3. For all i = 0, . . . , 15, there should be exactly five distinct permutations σ such that σ(i) 8. 4. For all i = 0, . . . , 15, there should be exactly five distinct permutations σ such that σ(i) is even, and exactly five such that σ(i) is odd.