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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)

Matlab question: use switch and anythe lottery game matches three different integer numbers between 1 and 10. winning depends on how many matching numbers are provided by a player. the player provides three different integers between 1 and 10.if there is a match of all 3 numbers, the winning $ 1000.if there is a match with 2 numbers, the winning $ 10.if there is a match of all with 1 numbers, the winning $ 1.with no match, the winning is $0.write a function lottery3 that checks three numbers provided by a player and determine the winning amount. if the user mistakenly enters same number twice/thrice and if that number matches one of the winning numbers, the code should count that number only once and display correct result. the player doesn’t have to guess the order of numbers. the input to the function lottery3 can have up to two input arguments. the first input argument is a row array numbers with 3 numbers. if the second argument input testcode is present, and is a row vector of 3 values, the function lottery3 uses the code in testcode as the three winning numbers (the test must be three different integer numbers between 1 and 10), else three different numbers will be automatically generated by testcode. the ouput should return the variable winnings and the three winning numbers in the row array winnumbers. hint: make use of the internal function any. restriction: the function must use switch-case statements to determine the winning. example #1: winning = lottery3( [1,2,1],[1,2,3])produceswinning =10example #2: [winning, winnumbers] = lottery3( [1,2,3])produceswinning =3winnumbers =8 5 3

Write a function called checkfactor that takes two arrays of positive numbers, firstnumberrow and secondnumberrow. checkfactor checks if the first entry in firstnumberrow is divisible by the first entry in secondnumberrow, and performs the same operation on the next array elements until all entries have been checked. all the numbers are positive and the number of entries in the arrays are the same. the function should return the identified divisible numbers in two row arrays named firstdivisible and seconddivisible. restrictions: branches or loops should not be used. the code must use the internal mod and logical functions. hint: the mod function should be used to determine if two numbers are divisible. ex: for num1 and num2 if mod(num1,num2) is 0, then the two numbers are divisible. this is matlab