In the mathematics of permutations, a layered permutation is a permutation that reverses contiguous blocks of elements. Equivalently, it is the direct sum of decreasing permutations.[1]
One of the earlier works establishing the significance of layered permutations was Bóna (1999), which established the Stanley–Wilf conjecture for classes of permutations forbidding a layered permutation, before the conjecture was proven more generally.[2]
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In the mathematics of permutations, a layeredpermutation is a permutation that reverses contiguous blocks of elements. Equivalently, it is the direct...
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also give the sizes of the shortest possible superpatterns for the layeredpermutations. Ford, Lester R. Jr.; Johnson, Selmer M. (1959), "A tournament problem"...
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two parts: A permutation of all 256 possible bytes (denoted "S" below). Two 8-bit index-pointers (denoted "i" and "j"). The permutation is initialized...
text. For each key K, EK is a permutation (a bijective mapping) over the set of input blocks. Each key selects one permutation from the set of ( 2 n ) ! {\displaystyle...
versions, one with 64 bits, and the other with 128 bits. Substitution–permutation network Confusion and diffusion Alex Biryukov, Christophe De Cannière...