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Secure communications without key exchange
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==Approach and methodology== The easiest way to describe rotations in higher dimensions is to use Geometric Algebra, which is a very powerful tool that engineers and computer scientist are starting to get excited about. This form of mathematics is surprisingly easy and all the operations are just like multiplying out brackets. We will show you how this works and you can pick this up very quickly. We would also like you to use Matlab to simulate the encoding of messages and to perform possible operations on them that an eavesdropper could use. This way you can prove which schemes can be cracked. We would also like you to have a go at analytical proofs. For the RTKS-cipher case, perform experiments by communicating between two different internet nodes and record the resulting bit stream. Then record the bit streams that Eve receives depending on the location of her node. Probably just try to two worst-case nodes, which would be (i) in the same room as Bob, and (ii) in the same room as Alice. You can then compute the cross-correlation between Bob's bit stream and Eve's bit stream, to demonstrate if Eve has been able to distill any information or not.
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