The affine cipher E is given by E(x) 17x 3 (mod 26).

The conversion table for letters and numbers is shown below.

A B C D E F G H I J K L M

0 1 2 3 4 5 6 7 8 9 10 11 12

N O P Q R S T U V W X Y Z

13 14 15 16 17 18 19 20 21 22 23 24 25

(i) Show that 3 is a multiplicative inverse of 17 modulo 26.

(ii) Suppose that you receive the enciphered message 8, 23, 10, 11.

Decipher the message and deduce the word that was sent.