Problem 1. Using the bounds proved in class and the singleton bound from HW1, determine whether the following q-ary codes with specified parameters can exist. If the code exists, give an example. Feel free to use a calculator. (i) Binary code with parameters (11,3,8). (ii) 5-ary code with parameters (10,5,5). Hint: whats a 5-ary code with 5 codewords and dis- tance 5? (iii) a 3-ary code with parameters (7, 23,5). Problem 1. Using the bounds proved in class and the singleton bound from HW1, determine whether the following q-ary codes with specified parameters can exist. If the code exists, give an example. Feel free to use a calculator. (i) Binary code with parameters (11,3,8). (ii) 5-ary code with parameters (10,5,5). Hint: whats a 5-ary code with 5 codewords and dis- tance 5? (iii) a 3-ary code with parameters (7, 23,5)