Number theory & informatics & codes

Number theory & informatics & codes

codes & cryptography Cryptographical Properties of Ising Spin Systems cond-mat/0002129 Yoshiyuki Kabashima , Tatsuto Murayama , David Saad Public key cryptography and error correcting codes as Ising models cond-mat/0008363 David Saad , Yoshiyuki Kabashima , Tatsuto Murayama Secure exchange of information by synchronization of neural networks cond-mat/0202112 I. Kanter , W. Kinzel , E. Kanter Journal-ref: Europhys. Lett. 57, pp. 141-147 (2002 Cryptography based on neural networks - analytical results cond-mat/0202350 Michal Rosen-Zvi , Ido Kanter , Wolfgang Kinzel Interacting neural networks and cryptography cond-mat/0203011 Wolfgang Kinzel , Ido Kanter Theory of Interacting Neural Networks cond-mat/0204054 Wolfgang Kinzel A secure key-exchange protocol with an absence of injective functions cond-mat/0206213 R. Mislovaty , Y. Perchenok , Ido Kanter , Wolfgang Kinzel Neural Cryptography cond-mat/0208453 Wolfgang Kinzel , Ido Kanter Analysis of common attacks in LDPCC-based public-key cryptosystems cond-mat/0305172 N.S. Skantzos , D. Saad , Y. Kabashima Journal-ref: Phys Rev E (2003) 68 056125 The polynomial error probability for LDPC codes cond-mat/0310177 J. van Mourik , Y. Kabashima Neural cryptography with feedback 10.1103/PhysRevE.69.046110 Cooperating Attackers in Neural Cryptography cond-mat/0312068 L. N. Shacham , E. Klein , R. Mislovaty , I. Kanter , W. Kinzel Quantum Cryptography quant-ph/0101098 Nicolas Gisin , Grégoire Ribordy , Wolfgang Tittel , Hugo Zbinden A Quick Glance at Quantum Cryptography quant-ph/9811056 Samuel J. Lomonaco A Quick Glance at Quantum Cryptography Whitepaper from the PGP corporation Analysis of common attacks in public-key cryptosystems based on low-density parity-check codes Cheap trick secures secrets Cryptographical Properties of Ising Spin Systems David MacKay: Publications: Gallager codes & MN codes Dynamic phase transition for decoding algorithms MA426 Elliptic curves Sparse Graph Codes for Quantum Error-Correction David J.C. MacKay, Graeme Mitchison, and Paul L. McFadden The Mathematical Guts of RSA Encryption Cooperating attackers in neural cryptography Neural cryptography with feedback Neural cryptography with queries 10.1088/1742-5468/2005/01/P01009 Public-channel cryptography using chaos synchronization cond-mat/0412613 Einat Klein , Rachel Mislovaty , Ido Kanter , Wolfgang Kinzel On Classical and Quantum Cryptography quant-ph/0108133 I.V. Volovich , Ya.I. Volovich Diagnosis of weaknesses in modern error correction codes: a physics approach cond-mat/0506037 M.G. Stepanov (LANL), V. Chernyak (Wayne State), M. Chertkov (LANL), B. Vasic (U. of Arizona) The error-floor of LDPC codes in the Laplacian channel cs/0507031 M. G. Stepanov , M. Chertkov Finite-Connectivity Spin-Glass Phase Diagrams and Low Density Parity Check Codes cond-mat/0507458 Gabriele Migliorini , David Saad A framework for public-channel cryptography using chaotic lasers cond-mat/0507554 Noam Gross , Einat Klein , Michael Rosenbluh , Wolfgang Kinzel , Lev Khaykovich , Ido Kanter Survey propagation at finite temperature: application to a Sourlas code as a toy model cond-mat/0508586 B Wemmenhove , H J Kappen Performance of LDPC codes over symmetric channels Average and reliability error exponents in low-density parity-check codes One step RSB scheme for the rate distortion function A BP-based CDMA multiuser detection algorithm Applications of correlation inequalities to low density graphical codes cs/0509098 Nicolas Macris The theoretical capacity of the Parity Source Coder Two Lectures on Iterative Coding and Statistical Mechanics cond-mat/0512296 Andrea Montanari Instanton analysis of Low-Density-Parity-Check codes in the error-floor regime cs/0601070 M.G. Stepanov , M. Chertkov Looping linear programming decoding of LDPC codes cs/0601113 Michael Chertkov , Mikhail G. Stepanov On the high density behavior of Hamming codes with fixed minimum distance cond-mat/0602661 G.Parisi , F.Zamponi Survey propagation for the cascading Sourlas code [cs/0605130] Error Exponents of Low-Density Parity-Check Codes on the Binary Erasure Channel Genetic attack on neural cryptography [quant-ph/0606107] Asymmetric quantum error correcting codes [cond-mat/0606696] Statistical mechanics of error exponents for error-correcting codes [cond-mat/0612537] Dynamics of neural cryptography [cs/0701084] Pseudo-codeword Landscape [0704.2857] Modern Coding Theory: The Statistical Mechanics and Computer Science Point of View
elements of number theory online Goldbach Conjecture -- from MathWorld Goldbach conjecture verification MA426 Elliptic curves Notes on Elementary Number Theory Prime Statistics The Prime Pages (prime number research, records and resources)
various Information Entropy and Correlations in Prime Numbers cond-mat/0303110 Pradeep Kumar , Plamen Ch.Ivanov , H. Eugene Stanley Fermats last theorem, the Riemann hypothesis, and synergistic glasses cond-mat/0307301 J. C. Phillips Families and clustering in a natural numbers network cond-mat/0309199 Gilberto Corso Toward a dynamical model for prime numbers cond-mat/0309251 Claudio Bonanno , Mirko S. Mega On metric structure of ultrametric spaces cond-mat/0310079 Sergei Nechaev , Oleg Vasilyev Hidden structure in the randomness of the prime number sequence? 10.1016/j.physa.2005.06.066 The Easiest Hard Problem: Number Partitioning cond-mat/0310317 Stephan Mertens Microscopic realizations of the Trap Model cond-mat/0311158 I. Junier , J. Kurchan Journal-ref: J. Phys. A: Math. Gen., 37, 3945-3965 (2004) Thermodynamics of the Farey Fraction Spin Chain math-ph/0310016 Jan Fiala , Peter Kleban From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices math/0404128 Alain Connes (College de France), Matilde Marcolli (MPIM Bonn) ScienceDirect - Physica A: Statistical Mechanics and its Applications : Theory of analogous force on number sets Families and clustering in a natural numbers network Zeta function zeros, powers of primes, and quantum chaos Jamal Sakhr, Rajat K. Bhaduri, and Brandon P. van Zyl Phys. Rev. E 68, 026206 (2003) The gaps between the gaps: some patterns in the prime number sequence Generalized Number Theoretic Spin Chain-Connections to Dynamical Systems and Expectation Values math-ph/0503030 Jan Fiala , Peter Kleban Fermi-Dirac statistics and the number theory quant-ph/0507201 A. Kubasiak , J. Korbicz , J. Zakrzewski , M. Lewenstein Journal-ref: Europhys. Lett. 72, p.506 (2005) Cluster Approximation for the Farey Fraction Spin Chain [cond-mat/0609718] Random patterns generated by random permutations of natural numbers
[cs/0608053] Renormalization group approach to the P versus NP question
[math/0401223] The distribution of integers with a divisor in a given interval
[math/0607473] Integers with a divisor in (y,2y] Created automatically on Wednesday 14 November 2007 11:47:52