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Chris Christensen Department of Mathematics and Statistics Northern Kentucky University.

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Presentation on theme: "Chris Christensen Department of Mathematics and Statistics Northern Kentucky University."— Presentation transcript:

1 Chris Christensen Department of Mathematics and Statistics Northern Kentucky University

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3 Encipher U.S. Navy24396 Additive65358 False sum89644 Transmitted89644 Additive65358 U.S. Navy24396 Decipher

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11 Marshall Hall. Jr.

12 (Codegroup 1 + Additive) (Codegroup 2 + Additive) Codegroup 1 – Codegroup 2

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15 Mean =

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18 Marshall Hall devised [Halls weights] at a time when the indicator system had been broken, but just in case …. Its time did come when the Japanese introduced bigram ordinates to specify additive starting points in December Edward Simpson

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22 30 November 1943 Tentative Method for the Alignment of JN-25 Traffic Without Use of Code or Keys. Lawrance Shinn Ray C. Hackman

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25 My initial reaction to it was to wonder why anyone would go down that road. Collapsing five-figure groups into mod 10 sums of their digits loses an awful lot of information.

26 Differences of Scanning Groups Distribution of Differences

27 DifferenceShinn Weights or or or or

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29 Mean =

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31 Copperhead V Cancelled after 25 July Mamba


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