6,246 research outputs found

    Chosen-Plaintext Cryptanalysis of a Clipped-Neural-Network-Based Chaotic Cipher

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    In ISNN'04, a novel symmetric cipher was proposed, by combining a chaotic signal and a clipped neural network (CNN) for encryption. The present paper analyzes the security of this chaotic cipher against chosen-plaintext attacks, and points out that this cipher can be broken by a chosen-plaintext attack. Experimental analyses are given to support the feasibility of the proposed attack.Comment: LNCS style, 7 pages, 1 figure (6 sub-figures

    A Note on ODEs from Mirror Symmetry

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    We give close formulas for the counting functions of rational curves on complete intersection Calabi-Yau manifolds in terms of special solutions of generalized hypergeometric differential systems. For the one modulus cases we derive a differential equation for the Mirror map, which can be viewed as a generalization of the Schwarzian equation. We also derive a nonlinear seventh order differential equation which directly governs the instanton corrected Yukawa coupling.Comment: 24 pages using harvma

    Chiral Rings and Physical States in c<1 String Theory

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    We show how the double cohomology of the String and Felder BRST charges naturally leads to the ring structure of c<1c<1 strings. The chiral ring is a ring of polynomials in two variables modulo an equivalence relation of the form xp≃yp+1x^p \simeq y^{p+1} for the (p+1,p) model. We also study the states corresponding to the edges of the conformal grid whose inclusion is crucial for the closure of the ring. We introduce candidate operators that correspond to the observables of the matrix models. Their existence is motivated by the relation of one of the screening operators of the minimal model to the zero momentum dilaton.Comment: 20 pages, harvmac, 4 figures (drawn using LaTeX appended to the end of the file), IMSc--92/3

    On the Cohomology of the Noncritical WW-string

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    We investigate the cohomology structure of a general noncritical WNW_N-string. We do this by introducing a new basis in the Hilbert space in which the BRST operator splits into a ``nested'' sum of nilpotent BRST operators. We give explicit details for the case N=3N=3. In that case the BRST operator QQ can be written as the sum of two, mutually anticommuting, nilpotent BRST operators: Q=Q0+Q1Q=Q_0+Q_1. We argue that if one chooses for the Liouville sector a (p,q)(p,q) W3W_3 minimal model then the cohomology of the Q1Q_1 operator is closely related to a (p,q)(p,q) Virasoro minimal model. In particular, the special case of a (4,3) unitary W3W_3 minimal model with central charge c=0c=0 leads to a c=1/2c=1/2 Ising model in the Q1Q_1 cohomology. Despite all this, noncritical W3W_3 strings are not identical to noncritical Virasoro strings.Comment: 38 pages, UG-7/93, ITP-SB-93-7
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