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Fundamentals of Physics and Chemistry of the Atmosphere
Additive and Cancellative Interacting Particle Systems (Lecture Notes in Mathematics) by David Griffeath (Repost)
PI and the AGM: A Study in Analytic Number Theory and Computational Complexity by Jonathan M. Borwein (Repost)
Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
Synthetic inorganic chemistry a course of laboratory and classroom study by Arthur Alphonzo Blanchard (Repost)
Invitation to Law and Society - An Introduction to the Study of Real Law
Matrix Mathematics - Theory, Facts, and Formulas, Second Edition
Mathematics Probability, Markov Chains, Queues, and Simulation - The Mathematical Basis of Performance Modeling
-Physics, Topology, Logic and Computation: A Rosetta Stone- by John C. Baez adn Mike Stay
-Quantum Physics for Scientists and Technologists- by Paul Sanghera (Repost)
Algebraic Aspects of Cryptography (Algorithms and Computation in Mathematics) by Neal Koblitz (Repost)
Mathematics Mathematical Foundations of Computer Science 2004 [Repost]
Mathematics Mathematical Logic for Computer Science (3rd edition)
Physics Democracy and Public Space: The Physical Sites of Democratic Performance
Spaces of Holomorphic Functions in the Unit Ball (Graduate Texts in Mathematics) by Kehe Zhu (Repost)
An Introduction to Ergodic Theory (Graduate Texts in Mathematics) by Peter Walters (Repost)
Statistical and Thermal Physics - With Computer Applications
Introduction to the Physics of the Earth's Interior (Cambridge Topics in Mineral Ph) by Jean Paul Poirier (Repost)
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THE GNOMON WORKSHOP CREATING A 3D FIGURE STUDY BOOKWARE ISO-LZ0
Additive and Cancellative Interacting Particle Systems (Lecture Notes in Mathematics) by David Griffeath (Repost)
PI and the AGM: A Study in Analytic Number Theory and Computational Complexity by Jonathan M. Borwein (Repost)
Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
Synthetic inorganic chemistry a course of laboratory and classroom study by Arthur Alphonzo Blanchard (Repost)
Invitation to Law and Society - An Introduction to the Study of Real Law
Matrix Mathematics - Theory, Facts, and Formulas, Second Edition
Mathematics Probability, Markov Chains, Queues, and Simulation - The Mathematical Basis of Performance Modeling
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-Quantum Physics for Scientists and Technologists- by Paul Sanghera (Repost)
Algebraic Aspects of Cryptography (Algorithms and Computation in Mathematics) by Neal Koblitz (Repost)
Mathematics Mathematical Foundations of Computer Science 2004 [Repost]
Mathematics Mathematical Logic for Computer Science (3rd edition)
Physics Democracy and Public Space: The Physical Sites of Democratic Performance
Spaces of Holomorphic Functions in the Unit Ball (Graduate Texts in Mathematics) by Kehe Zhu (Repost)
An Introduction to Ergodic Theory (Graduate Texts in Mathematics) by Peter Walters (Repost)
Statistical and Thermal Physics - With Computer Applications
Introduction to the Physics of the Earth's Interior (Cambridge Topics in Mineral Ph) by Jean Paul Poirier (Repost)
Mathematics Symmetry Theory in Molecular Physics with Mathematica: A new kind of tutorial book (Repost)
THE GNOMON WORKSHOP CREATING A 3D FIGURE STUDY BOOKWARE ISO-LZ0
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Study Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)
Posted on 2010-03-15
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More pic info: 2007-05-14/tigctac_orig Arnaldo Garcia & Henning Stichtenoth, Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications) The purpose of this reviewarticle is to serve as an introduction and at the same time, as an invitation to the theory of towers of function fields over finite fields. More specifically, we treat here the case of explicit towers; i.e., towers where the function fields are given by explicit equations. The asymptotic behaviour of the genus and of the number of rational places in towers are important features for applications to coding theory and to cryptography (cf. Chapter 2). The interest in solutions of algebraic equations over finite fields has a long history in mathematics, especially when the equations define a one-dimensional object (a curve or, equivalently, a function field). The major result of this theory is the Hasse-Weil theorem which gives in particular an upper bound for the number of rational points in terms of the genus of the curve and of the cardinality of the finite field. The Hasse-Weil theorem is equivalent to the validity of Riemann’s Hypothesis for the Zeta function associated to the curve by E. Artin, in analogy with the classical situation in Number Theory. This upper bound of Hasse-Weil is sharp, and the curves attaining this bound are called maximal curves. Y. Ihara was the first to notice that the Hasse-Weil bound can be improved for curves of high genus, and he gave in particular an upper bound for the genus of maximal curves in terms of the cardinality of the finite field. Pass: & 119;& 119;& 119;& 46;& 65;& 118;& 97;& 120;& 72;& 111;& 109;& 101;& 46;& 114;& 117; =========================== =========================== =========================== If You like this book, BUY IT ! =========================== ===== ===== ===== === === === = = = <- My other posts -> = = = ID115308 115308
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