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Full-Text Articles in Mathematics
An Exposition Of Kasteleyn's Solution Of The Dimer Model, Eric Stucky
An Exposition Of Kasteleyn's Solution Of The Dimer Model, Eric Stucky
HMC Senior Theses
In 1961, P. W. Kasteleyn provided a baffling-looking solution to an apparently simple tiling problem: how many ways are there to tile a rectangular region with dominos? We examine his proof, simplifying and clarifying it into this nearly self-contained work.
A Plausibly Deniable Encryption Scheme For Personal Data Storage, Andrew Brockmann
A Plausibly Deniable Encryption Scheme For Personal Data Storage, Andrew Brockmann
HMC Senior Theses
Even if an encryption algorithm is mathematically strong, humans inevitably make for a weak link in most security protocols. A sufficiently threatening adversary will typically be able to force people to reveal their encrypted data. Methods of deniable encryption seek to mend this vulnerability by allowing for decryption to alternate data which is plausible but not sensitive. Existing schemes which allow for deniable encryption are best suited for use by parties who wish to communicate with one another. They are not, however, ideal for personal data storage. This paper develops a plausibly-deniable encryption system for use with personal data storage, …