Question: 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.

Problem 1. Using the bounds proved in class and the singleton

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)

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