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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)

Which of the following is a way that advancements in technology improve humans' ability to measure air quality and protect human health? a. air quality data gathered by new instruments can be used to reduce exposure to pollutants. b. new technologies enable natural and human-made pollution sources to be located and monitored. c. air quality data gathered by new instruments can be used to predict trends in pollution over time. d. new technologies allow governments to make informed decisions about the regulation of pollution. (choose more than one)

Suppose an astronomer discovers a large, spherical-shaped body orbiting the sun. the body is composed mostly of rock, and there are no other bodies sharing its orbit. what is the best way to categorize this body? a. planet b. moon c. comet d. asteroid