Find the Hamming distance of the codewords 10100111 and 11010011

A Hamming (7,4 ) code uses the following check bit rulesc1 = k1 + k4 c2  = k1 + k2 + k3   c3 = k1 + k3Construct a complete table for the code set.Construct the Generator Matrix for the code setConstruct the Check Matrix for the code set.Using the Generator matrix, determine the encoded form of the data word <1001>Using the Check matrix decode the following received codeword <1001001>.

If two codewords are a Hamming distanceIf two codewords are a Hamming distance dd apart, it willapart, it willrequirerequire dd singlesingle--bit errors to convert one into the other.bit errors to conve

(3,7) hamming code represents

Nearly EqualThe Hamming distance between two pairs of strings of equal length is defined to be the number of positions at which they contain different characters.For example, the Hamming distance between strings "there""there" and "shire""shire" is 22 (their first and third characters are different), while the Hamming distance between "order""order" and "chaos""chaos" is 55, since they differ at every position.Chef has a string 𝐴A of length 𝑁N.Chef's favorite string is 𝐵B, which has length 𝑀M. It is known that 𝑀≤𝑁M≤N.Find the minimum Hamming distance between 𝐵B and some contiguous substring†† of 𝐴A that has length 𝑀M.†† A substring of a string is obtained by deleting some (possibly, zero) characters from its beginning and some (possibly, zero) characters from its end.For example, "abc", "bc", and "cd" are substrings of "abcd", but "ac" is not.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of three lines of input.The first line of each test case contains two space-separated integers 𝑁N and 𝑀M — the lengths of strings 𝐴A and 𝐵B, respectively.The second line contains the string 𝐴A, consisting of 𝑁N lowercase English letters.The third line contains the string 𝐵B, consisting of 𝑀M lowercase English letters.Output FormatFor each test case, output on a new line the minimum possible Hamming distance between 𝐵B and some length 𝑀M substring of 𝐴A.Constraints1≤𝑇≤1001≤T≤1001≤𝑀≤𝑁≤1001≤M≤N≤100𝐴A and 𝐵B contain only lowercase English letters, i.e, the characters 'a' through 'z'.Sample 1:InputOutput45 3stormorz7 6orangesapples4 1ohnop9 4pinotnoirtari1412

For Hamming code, when encoding the message m=1011𝑚=1011, the last bit of the output is 11.Group of answer choicesTrueFalse