Coding of Binary Information and Error Detection (XI)
Group Code of an Encoding Function
Show that the (3, 7) encoding function e: B^3 --> B^7 defined by
e(000) = 0000000
e(001) = 0010110
e(010) = 0101000
e(011) = 0111110
e(100) = 1000101
e(101) = 1010011
e(110) = 1101101
e(111) = 1111011
is a group code.