Assume that you are able to do an exhaustive search for the key to an encrypted message at the rate of 100 Million trials per second. (a) (7 Points) How long in (days or years) would it take for you to find the key on the average to a code that used 112-bit key on average

Consider the following generator matrix: g= (1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0) find all the codewords generated by this generator matrix. determine the number of errors that this code will detect. determine the number of errors that this code will correct. prove that a linear code's minimum weight is equivalent to its minimum distance. that is, where c is a linear code, dist(c) = wh(c)

4.11 painting a wall (1) prompt the user to input integers for a wall's height and width. calculate and output the wall's area (integer). note that in this case there is a new line after each prompt. (submit for 1 point). enter wall height (feet): 11 enter wall width (feet): 15 wall area: 165 square feet (2) extend to also calculate and output the amount of paint in gallons needed to paint the wall (floating point). assume a gallon of paint covers 350 square feet. store this value in a variable. output the amount of paint needed using the %f conversion specifier. (submit for 2 points, so 3 points total). enter wall height (feet): 11 enter wall width (feet): 15 wall area: 165 square feet paint needed: 0.471429 gallons (3) extend to also calculate and output the number of 1 gallon cans needed to paint the wall. hint: use a math function to round up to the nearest gallon. (submit for 2 points, so 5 points total). enter wall height (feet): 11 enter wall width (feet): 15 wall area: 165 square feet paint needed: 0.471429 gallons

Under which key category do the page up and page down keys fall? page up and page down keys fall under the keys category.