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If we define a hash function (or compression function) h that will hash an n-bit binary string to an m-bit binary string, we can view h as a function from Z2 to Z2m. It is tempting to define h using integer operations modulo 2m. We show in this exercise that some simple constructions of this type are insecure and should therefore be avoided.
a. Suppose that u = m > 1 and h : Z2 m → Z2m is defined as
h(x) = x2 + ax + b mod 2m.
Prove that it is easy to solve Second Preimage for any x Z2m without having to solve a quadratic equation.
Suppose postal requirements are that the maximum of the length plus the girth (cross sectional perimeter) of a rectangular package that may be sent is 250 inches. Find the dimensions of the package with square ends whose volume is to be maximum.
You invest $5000 in two stocks. In one year, the value of stock A increases by 9.8% and the value of stock B increases by 6.2%. The total value of the stocks is now $5389.20. How much did you originally invest in each stock?
the sleeping aid ambien has a biological half-life of about 1.5 hours.nbsp assume someone takes a 10 mg dose at 900
where k is a constant and R is the radius of the artery. How many centimeters from the central axis of the artery is velocity of blood maximized?
Let S be a set with an associative binary operation but with no identity. Choose an element 1 not belonging to S, write M = {1} or S, and define an operation on M by using the operation of S and 1s=s=s1 for all s belonging to S.
Many Americans dream of winning the lottery and play frequently. During this discussion, we will look at the lotteries and see if there is really a chance to win.
Consider the planes x1+x2+3x3 = 4 and x1+2x2+4x3 = 5 in R^3. Find parametric equations for the line of intersection of these two planes
a pharmaceutical company wants to test a new cholesterol drug. the average cholesterol of the target population is 200
A survey of 250 lobster fisherman found that they catch an average of 32 pounds of lobster per day with a standard dev of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less..
Supply and demand at $1.40 per bushel, the daily supply for oats is 850 bushels, and the daily demand is 580 bushels. When the price falls to $1.20 per bushel, the daily supply decreases to 350 bushels and the daily demand increases to 980 bushels..
find a linear equation giving the total cost, c, of producing x units given that 200 graphing calculators cost $1050 to produce and 525 calculators cost $2350 to produce.
Considering demand and all costs depicted above, does the single, consolidated warehouse or the two individual warehouses represent the least-total-cost alternative?
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