 , 03.12.2019 01:20 hoopstarw4438

# :pairwise independence. suppose we want to generate n pairwise independent random variables in the range {0, 1, 2, . . , m − 1}. we will assume that n and m are powers of 2 and let n = {0, 1} n and m = {0, 1} m (hence n = log n and m = log m). we saw a scheme in the lecture using mn bits. here we will revisit that scheme in a different way and then see how it can be made more randomness-efficient. pick a uniformly random matrix a ∈ {0, 1} m×n and a random vector b ∈ {0, 1} m . then for a vector v ∈ {0, 1} n , set xv = av + b mod 2 (by this we mean component wise mod 2). (a) suppose we pick a and b uniformly at random. show that under this scheme, for all w ∈ {0, 1} n where w 6= 0 and for all γ ∈ {0, 1} m , pa[aw = γ mod 2] = 1 2m . why does this guarantee that xu and xv are independent for u 6= v and u 6= 0, v 6= 0? ### Another question on Mathematics Mathematics, 04.02.2019 07:57
How do businesses a country's economy? a. by investing in goods and services b. by increasing the unemployment rate c. by making profits Mathematics, 04.02.2019 05:55
Δabc is dilated by a scale factor of 3 with the origin as the center of dilation to form δa′b′c′. the slope of is -1.2. the length of is p units, the length of is q units, and the length of is r units. the slope of is . the length of is units. Mathematics, 04.02.2019 00:07
Jamie went to home depot.she bought 25 bags of soil that cost \$9 per bag.she bought 15 pots at \$8 each,and she bought 23 bags of pebbles at \$15 each.she used a coupon that gave her \$5 off for every 100 dollars she spent.how much did jame pay at the end? Mathematics, 01.02.2019 22:50
Ineed to find the answer to number 2
:pairwise independence. suppose we want to generate n pairwise independent random variables in the r...
Questions                 Mathematics, 23.04.2020 23:54   Questions on the website: 6675995