Multivariate quadratic (MQ) cryptography requires the use of long public and private keys to ensure a sufficient security level, but this is not favorable to embedded systems, which have limited system resources. Recently, various approaches to MQ cryptography using reduced public keys have been studied. As a result of this, at CHES2011 (Cryptographic Hardware and Embedded Systems, 2011), a sma...

We obtain a representation theorem for Banach space valued Gaussian random variables as integrals against a white noise. As a corollary we obtain necessary and sufficient conditions for the existence of a white noise representation for a Gaussian random field indexed by a measure space. We then show how existing theory for integration with respect to Gaussian processes indexed by [0, 1] can be ...

This paper proposes a non-diffuse global illumination algorithm that is fast enough to be appropriate for interactive walkthroughs and general animations. To meet the severe performance requirements, we heavily exploit coherence both in time and space, and use randomization to reduce the time and storage complexity. To speed up convergence and to support animation, the approximation of the radi...

Extrapolating the von Neuman’s random-pulse machine concept, the paper discusses the multibit random-data representation and shows how it can be used for the modular design of robust instrumentation for real-time statistical parameter estimation and especially of hardware neural networks.

Time evolution of random processes differs in one essential respect from evolution of conservative systems in general and Hamiltonian systems in particular. As a great number of various limit theorems attest, the final states loose all the information about the initial conditions. Thus, there is nothing to be conserved, no constants of motion can exist, and no use can be made of the powerful ma...

Using a probabilistic interpretation of the Burau representation of the braid group ooered by Vaughan Jones, we generalize the Burau representation to a representation of the semigroup of string links. This representation is determined by a linear system, and is dominated by nite type string link invariants. For positive string links, the representation matrix can be interpreted as the transiti...

Using a probabilistic interpretation of the Burau representation of the braid group offered by Vaughan Jones, we generalize the Burau representation to a representation of the semigroup of string links. In particular, we get a knot invariant which could be interpreted as the expectation of a random observable related with random walks on knot diagrams. Our computation shows that if we have a 50...