The reviewers get real Lorenz machines Mystery Cache

Introduction

"That does it!" - Toa Onua was angry. Their attempt to build their own Lorenz Cipher machine had failed miserably. Some local children had even somehow broken the code - or at least found the secret cache anyway. This simply had to stop - now!

Also Mr. X was now clearly well versed regarding the simplified Lorenz Cipher machines they had built.

Toa Onua decided to present the situation to Geocaching HQ, along with an investment proposal for three REAL Lorenz Cipher machines. It might cost one year worth of premium subscription fees - but it would be worth it! The other reviewers thought he was out of his mind. Clearly there was not enough money available for such an investment.

To everyone's surprise, the request was accepted by Geocaching HQ. Apparently they had turned a nice profit last year and were eager to spend it before anyone found out. Buying three used, but otherwise mint-condition, Lorenz Cipher machines was a perfect investment. And so, the Danish reviewers found themselves equipped with these wonders of cryptography - wow!

Problem

The three reviewers sat down and decided on the protocol they would use for the machines. They wanted to keep things simple to start with. They decided to stick with the Baudot encoding they had used for also for the simplified version as this was well known to them. Furthermore, they agreed to change daily the starting positions of the wheels to be used for the transmissions. They also decided that all Lorenz communications between them would be in English, and finally that they would start off by just one transmission every day. They wrote down the starting wheel positions for the first 90 days on paper, as they were not sure if they would meet face to face before then. All set!

The Lorenz machines accept Baudot punch tape (5 bit/holes), enciphers the message and transmit the resulting ciper as a wireless signal. At the other end, the receiving machines process the signal in the same way and produce an identical punch tape.

They had also purchased - much less expensive - devices to punch and read the tapes.

On the 3rd day, Toa Onua prepared a punch tape with the daily message concerning the coordinates of a cache. He set the agreed starting positions for the day and started the transmission by inserting the punch tape into the machine and pushing start. He then went off to the kitchen to get a cup of coffee while his young daughter was playing near by. Upon his return he discovered that the cable connecting the Lorenz machine to the antenna had been unplugged. He was almost sure that he had checked it before doing the transmission; perhaps his daughter had accidentally pulled the plug? 

Uncertain, Toa Onua decided to re-transmit the message. He reconnected the cable, reset the wheel settings, and again fed the punch tape to the machine. Once finished, he lay down on the floor to watch his daughter play with her Barbie dolls. Then he saw something very strange - one of the dolls seemed to be wearing a new dress with material which looked exactly like a piece of the punch tape....

Toa undressed the Barbie doll, promising to his crying daughter than he would replace it quickly. He put the small piece of tape into the punch tape reader and discovered that it was indeed the initial part of his message. His daughter must have used the sissors in the desk drawer and cut a piece of the tape for her doll. Never mind, his colleges would get the point even without the initial part.The Barbie doll got her new dress back and they played for a while until it was time to go for a walk.

Meanwhile, Mr. X had his listening station setup not far way. Having received the daily transmission, he was about to turn off his receiver when another transmission started to come in. He watched with great surprise as the cipher was printed on punch tape.

He compared the two ciphers. They were of almost equal length. Mr. X starting thinking... what was going on here? He then made the correct assumption and within a few minutes, he was able to read the message.

Can you do the same?

The two cipher messages received:

First cipher:

Second cipher:

Geochecker