This result can be deduced from the definition of the depolarization channel. When we set q=1, the channel output is a mixed state I2, no matter the input. Consequently, we know deterministically that the channel output is a mixed state (maximum uncertainty), and the channel has no use!
These contributions lead to the definition of a combinatorial optimisation problem, that is the Lossy Multistream Compression Problem, for which we provide an exact algorithm.doi:10.1016/j.tcs.2018.12.009Robin Lamarche-PerrinTheoretical Computer Science...
The interesting property of ABM-LTFs is that it is possible to generate an arbitrary number of lossy tags by means of a special trapdoor, while it is not feasible to produce lossy tags without this trapdoor.Our definition and construction can be seen as generalizations of all-but-one LTFs (...
of Definition 2.1 implies that Cf1 has very low collision probability if f1 ∈ Fn,1 is a randomly chosen 2-1 function. More concretely, let t denote the number of oracle gates in C∗ and assume we could prove that Pr [Cf1 (X ) = Cf1 (Y )] ≤ 2−k·n+O(k log t) X,...
@Simbosan replies to @radman8321:yet you can sit with your DAW and flick the switch to hear what you lose when you encode MP3 and it's NOT insignificant and you CAN hear it, therefore the difference is by definition, audible. Fact. The tests you refer to claim to make a complicated ...
The following lemma is a direct consequence of the definition of wqo: Lemma 2 Given a set C with the well-quasi ordering ≤⊆ C × C and an infinite sequence S = c1,c2,... with ∀i ≥ 1 : ci ∈...Abdulla, P.A., Annichini, A. and Bouajjani, A. (1999) Symbolic ...
However, to adapt it to specific setting of our schemes, we modify to the original definition to take into account the possibility that the prover may fail and output ⊥ as response during the execution of the identification protocol. Moreover, when this happens, instead of returning (cmt, ...
In this paper, we propose a new cryptographic primitive called inner-product lossy trapdoor function (IPLTDF). We give a formal definition, and a concrete construction from lattices. We then show this primitive is useful to obtain efficient chosen-plaint
Hence it suffices to show that if tdet(C) < 0, then there are at least two permutations realising the minimum in the definition of tdet(C). Let π∈ Sym(n) be one minimiser of the expression c1π(1) + ··· + cnπ(n). For each i ∈ [n] let σ (i ) ∈ [n] be ...
Finally, if Z is a set of propositions define B(Z) to be the set of boolean expressions over Z and X : 2x --+ B ( E ) as the characteristic function with the definition = Apex p D e f i n i t i o n I P L C S . Fix a set (or E ) Z of a t o m i c ...