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This paper presents the first results on AIDA/cube, algebraic and side-channel attacks on variable number of rounds of all members of the KATAN family of block ciphers. Our cube attacks reach 60, 40 and 30 rounds of KATAN32, KATAN48 and KATAN64, respective ...
In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation Ax=b, where A is an m×n full-rank matrix, b is a column-vector of dimension m, and m (the number of equations) is larger tha ...
A finitely generated subgroup F of a real Lie group G is said to be Diophantine if there is beta > 0 such that non-trivial elements in the word ball B-Gamma(n) centered at 1 is an element of F never approach the identity of G closer than broken vertical ba ...
The objective of this PhD thesis is the translation of, and the mathematical commentary on, a 16th-century Latin book. Its author, Diego Palomino is not well known. With a background in theology, he was a prior. In order to obtain his PhD at the University ...
In recent work, we have shown that in a Gaussian network, nodes can often recover linear combinations of transmitted codewords much more efficiently than the codewords themselves. These nodes, after decoding their linear equations, simply send them towards ...
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008
Abstract—Interference is usually viewed as an obstacle to communication in wireless networks. This paper proposes a new strategy, compute-and-forward, that exploits interference to obtain significantly higher rates between users in a network. The key idea ...
Institute of Electrical and Electronics Engineers2011
The article begins with a quantitative version of the martingale central limit theorem, in terms of the Kantorovich distance. This result is then used in the study of the homogenization of discrete parabolic equations with random i.i.d. coefficients. For s ...
Consider a diffusion field induced by a finite number of localized and instantaneous sources. In this paper, we study the problem of estimating these sources (including their intensities, spatial locations, and activation time) from the spatiotemporal samp ...
In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation Ax=b, where A is an m×n full-rank matrix, b is a column-vector of dimension m, and m (the number of equations) is larger tha ...
Nonlinear modeling of coaxial microhelicopters is studied. All equations are derived using a Lagrangian approach and simplified aerodynamics assumptions so that all parameters have a physical meaning; there is no “black box.” The model is constructed with ...