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These will then be extended to create the extended factors starting from that black position.
For some segment N i, each black position may generate 2 z ℓ extended factors.
By Lemma 4, position i is only in O (1 ) extended factors.
As the time frame of the model is extended, factors of production are gradually allowed to shift between uses.
We scan x from left to right and for the currently considered black position, we create a list of possible extended factors starting from this position.
From the abve analysis, we can see that each position can be in at most ℓ z ℓ + z ℓ = z ℓ (2 ℓ+1) extended factors.
Similar(27)
On the other side, we introduce the candidate extended factor in the V-M algorithm to increase the ability to an anti-replay attack.
The intuition behind extended factors is to generate a set of strings such that all the valid factors of the weighted string occur in at least one extended factor.
We stop extending an extended factor when we reach a black position which causes it to violate the threshold.
Given a weighted string x and a cumulative weight threshold 1/ z∈ 0,1], any valid factor of x occurs in at least one extended factor.
We recall an important lemma on how many black positions may be contained within any valid (or extended) factor of a weighted string.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com