Both of the following are group codes. For each one (i) determine the minimum distance between code words. Using this value determine (ii) the maximum number of errors that can reliably be detected, and (ii) the maximum number of errors that can reliably be corrected.

(a) {(0000000), (1000111), (010 1011), (0011101), (1101100), (101 1010), (0110110), (1110001)}
(b) {(000 000 0000), (100101 1110), (0101101111), (001 0111101), (110011 0001), (101 1100011), (011 101 0010), (111000 1100)}

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.