SOLVED: Example 1.3.2: One generator matrix for the [7, 4] Hamming code H is presented in Example 1.2.3. Let Tz be the code of length 8 and dimension obtained from H by adding an overall parity check coordinate t0 to each vector of G and thus t0 to each codeword of Hz. Then G is a generator matrix for Ts. It is easy to verify that Ts is a self-dual code. Example 1.3.3: The [4, 2] ternary code Hs,2, often called the tetracode, has a generator matrix G in standard form, given by G = [' %1 -4]. Ts
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