-
resist attacks on its
preimage (set of
possible inputs). In the
context of attack,
there are two
types of
preimage resistance:
preimage resistance: for essentially...
- of
differential topology, the
preimage theorem is a
variation of the
implicit function theorem concerning the
preimage of
particular points in a manifold...
- T\subseteq Y,} the
following properties hold: The
results relating images and
preimages to the (Boolean)
algebra of
intersection and
union work for any collection...
- {\displaystyle f[A],f^{-1}[C]} for
images and
preimages of
subsets and
ordinary parentheses for
images and
preimages of elements. Let f : X → Y {\displaystyle...
-
pullback is the
pullback of the
tangent spaces along the
differential maps.
Preimages of sets
under functions can be
described as
pullbacks as follows: Suppose...
- R; x ↦ x2. This
function is not
invertible as it is not bijective, but
preimages may be
defined for
subsets of the codomain, e.g. f − 1 ( { 1 , 4 , 9 ...
- (2008-08-17).
Preimages for
Reduced SHA-0 and SHA-1.
Crypto 2008.
Kazumaro Aoki; Jian Guo;
Krystian Matusiewicz; Yu Sasaki; Lei Wang (2009-12-10).
Preimages for...
- = g o f. To see this,
define Y to be the set of
preimages h−1(z)
where z is in h(X).
These preimages are
disjoint and
partition X. Then f
carries each...
- Khovratovich,
Christian Rechberger &
Alexandra Savelieva (2011). "Bicliques for
Preimages:
Attacks on Skein-512 and the SHA-2 family" (PDF). IACR
Cryptology ePrint...
- two
measurable spaces that
preserves the
structure of the spaces: the
preimage of any
measurable set is measurable. This is in
direct analogy to the definition...
