Your dentist can tell a lot about your health and daily habits just by looking at teeth. But did you know that archaeological scientists have discovered there is more information hidden in teeth? We study the chemical composition of teeth find out what types food person ate, even where was growing. When we sites, method called isotope analysis be used to reconstruct movements diets people, when...

Passwords and PINs continue to remain the most widespread forms of user authentication, despite growing awareness of their security limitations. This is because short secrets are convenient, particularly for an increasingly mobile user population. Many users are interested in employing a variety of computing devices with different forms of connectivity and different software platforms. Such use...

One of the most interesting research topics in cryptography is nding schemes for an e cient fully-homomorphic encryption (FHE), preferably information-theoretically secure schemes, which are not based on unproven computational hardness assumptions. The greatest breakthrough in this eld was made by Gentry [11] in 2009, and since then there were some interesting developments, e.g., Boneh et al. [...

The notion of a semi-commutativity set for word mappings was defined in [3] as an abstraction of a problem in cryptography. The notion is of special interest in case the mappings are morphisms. Then rather surprising constructions become possible. We investigate such constructions, paying special attention to exceptional values of inverse mappings. Some of our results bear a close relation to c...