Question:
Decoding of Binary Information and Error Correction (VI)
Consider the (3,8) encoding function e:B^3 --> B^8 defined by
e(000) = 00000000
e(001) = 01110010
e(010) = 10011100
e(011) = 01110001
e(100) = 01100101
e(101) = 10110000
e(110) = 11110000
e(111) = 00001111 and these are code words.
Let d be an (8,3) maximum likelihood decoding function d:B^8 --> B^3 associated with e.
Determine the number of errors that (e,d) will correct.