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The distance between the repetitions of VHVS is 18. If it is assumed that the repeated segments represent the same plaintext segments, that implies that the key is 18, 9, 6, 3, 2, or 1 characters long. The distance between the repetitions of QUCE is 30 characters. That means that the key length could be 30, 15, 10, 6, 5, 3, 2, or 1 characters long.
For most countries, this is followed by an area code, city code or service number code and the subscriber number, which might consist of the code for a particular telephone exchange. ITU-T recommendation E.123 describes how to represent an international telephone number in writing or print, starting with a plus sign ("+") and the country code.
That has length 6, and the gap between its two occurrences has length 10, which is not a multiple of 6, hence what you say does not make much sense to me. The reason, and the only reason, why the example works, is that 16 is a multiple of the key length (4), as explained in the text, and that's exactly the point the example is trying to get ...
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They had duplicate paper pads printed with lines of random number groups. Each page had a serial number and eight lines. Each line had six 5-digit numbers. A page would be used as a work sheet to encode a message and then destroyed. The serial number of the page would be sent with the encoded message. The recipient would reverse the procedure ...
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