Chapter 4.5, Problem 83E

Problems $81\text{-}84$ require the use of a graphing calculator or computer. Use the $4\times 4$ encoding matrix $B$ given below. Form a matrix with $4$ row’s and as many columns as necessary to accommodate the message.

$B=\left[\begin{array}{cccc}2& 2& 1& 3\\ 1& 2& 2& 1\\ 1& 1& 0& 1\\ 2& 3& 2& 3\end{array}\right]$

Cryptography. The following message was encoded with matrix B. Decode this message:

$\begin{array}{l}\text{85 74 27 109 31 27 13 40 139 73 58 154}\\ \text{61 70 18 93 69 59 23 87 18 13 9 22}\end{array}$