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Supercomputing Challenge

Puzzled: The Underlying Mathematics of the Enigma

Team: 63

School: MCCURDY HIGH

Area of Science: Mathematics


Proposal:

Puzzled: The Underlying Mathematics of the Enigma Machine

The problem is to create a mathematical model of the mechanical operation of a classic coding machine

Experimental Component

The team plans to review in detail how the Enigma Machine of World War II could encode messages. This will involve a review of an extensive literature review which exists for this machine. In particular, the team is concerned with how the machine mechanically created a difficult-to-break code. In turn, the team is concerned with understanding how cryptographers in the Poland and Britain were able to successfully “crack” the coding done by the machine.

Mathematical Components

One mathematical component is to explain the underlying mathematics of the machine’s mechanical behavior. The second mathematical component is to create a statistical model which could be used on a present day computer to decode messages created by an enigma machine. A model of the Enigma Machine is available on the Internet which creates coded messages. The math model is meant to decode a message created on such an Internet model.


Team Members:

  Sarah Armstrong
  Juan-Antonio Vigil

Sponsoring Teacher: Robert Dryja

Mail the entire Team