If e: B3 B be the (3, 8) encoding function defined by e(000) = 00000000, e(001) = 10111000, e(010) = 00101101, e(011) = 10010101, e(100) = 10100100, e(101) = 10001001, e(110) = 00011100, e(111) = 00110001. %3D %3D %3D %3D %3D (a) Show that this encoding function is a group code. (b) Find the minimum distance. (c) How many errors will e detect.

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