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Cryptology - Unofficial St. Mary's College of California Web Site

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9.7. EXERCISES 187<br />

The rules that Wheatstone used to encipher his messages are a bit different<br />

than the ones we use. Can you figure them out Hint: consider Playfair’s<br />

name for this cipher.<br />

21. Another way to use Playfair is construct a 6 × 6 square that consists <strong>of</strong><br />

the 26 letters followed by the 10 numbers 0, 1, ..., 9. Then encipher and<br />

decipher as usual. (Below we use z as the double-breaking letter, rather<br />

than x. I’ve also used o for the letter “O”, to prevent confusion with the<br />

number 0.)<br />

(a) Encipher 1800 Pennsylvannia Avenue.<br />

(b) Encipher The Lodge, the residence <strong>of</strong> the Australian Prime Minister.<br />

(c) Decipher INWBG RBSoM TUo0.<br />

(d) Decipher FHBCM LPVWA.<br />

(e) Decipher 76CPT QHo HTXNB 2BW.<br />

(f) Decipher Y8Y0T YWAVF oLWD.<br />

22. During World War II there was a widespread network <strong>of</strong> Australian coastwatchers<br />

spread about on the numerous island in the South Pacific. [Kahn,<br />

pages 591–3.]<br />

They observed enemy activity from the peaks and cliffs <strong>of</strong> enemy-held<br />

islands, collected bits <strong>of</strong> information from native allies, and radioed<br />

their information to Allied military commands. They frequently gave<br />

valuable early warning <strong>of</strong> Japanese bombing raids and ship movements,<br />

and they assisted in the rescue <strong>of</strong> downed Allied airmen.<br />

In the early morning hours <strong>of</strong> August 2, 1943, coast-watcher Lieutenant<br />

Arthur Reginald Evans <strong>of</strong> the Royal Australian Naval Volunteer<br />

Reserve saw a pinpoint <strong>of</strong> flame on the dark waters <strong>of</strong> Blackett<br />

<strong>St</strong>rait from his jungle ridge on Kolombangara Island, one <strong>of</strong> the<br />

Solomons. He did not know then that the Japanese destroyer Amagiri<br />

had rammed and sliced in half an American patrol torpedo boat,<br />

PT 109, lieutenant John F. Kennedy, United <strong>St</strong>ates Naval Reserve,<br />

commanding. But at 9:30 that morning he received<br />

the following message:<br />

(a) KXJEY UREBE ZWEHE WRYTU HEYFS KREHE GOYFI WTTTU OLKSY CAJPO<br />

BOTEI ZONTX BYBWT GONEY CUZWR GDSON SXBOU YWRHE BAAHY USEDQ<br />

The keyword is Royal new zealand navy. What does it say<br />

(b) Evan reported back that Object still floating between Meresu and<br />

Gizo, and was told later that there was a possibility that survivors<br />

landing either Vangavanga or islands. In fact, Kennedy had led his<br />

men to Plum Pudding Island. This was behind enemy lines, and only<br />

3 or 4 miles from Gizo Island where there was a Japanese garrison.

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