Characters And Cyclotomic Fields In Finite Geometry

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Characters and Cyclotomic Fields in Finite Geometry

Author : Bernhard Schmidt
Publisher : Springer
ISBN 13 : 3540457976
Total Pages : 108 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Characters and Cyclotomic Fields in Finite Geometry by : Bernhard Schmidt

Download or read book Characters and Cyclotomic Fields in Finite Geometry written by Bernhard Schmidt and published by Springer. This book was released on 2004-10-14 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13

Finite Geometry and Combinatorial Applications

Author : Simeon Ball
Publisher : Cambridge University Press
ISBN 13 : 1107107997
Total Pages : 299 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Finite Geometry and Combinatorial Applications by : Simeon Ball

Download or read book Finite Geometry and Combinatorial Applications written by Simeon Ball and published by Cambridge University Press. This book was released on 2015-07-02 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.

Finite Fields and Applications

Author : International Conference on Finite Fields and Applications
Publisher : American Mathematical Soc.
ISBN 13 : 0821843095
Total Pages : 278 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Finite Fields and Applications by : International Conference on Finite Fields and Applications

Download or read book Finite Fields and Applications written by International Conference on Finite Fields and Applications and published by American Mathematical Soc.. This book was released on 2008 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Eighth International Conference on Finite Fields and Applications, held in Melbourne, Australia, July 9-13, 2007. It contains 5 invited survey papers as well as original research articles covering various theoretical and applied areas related to finite fields.Finite fields, and the computational and algorithmic aspects of finite field problems, continue to grow in importance and interest in the mathematical and computer science communities because of their applications in so many diverse areas. In particular, finite fields now play very important roles in number theory, algebra, and algebraic geometry, as well as in computer science, statistics, and engineering. Areas of application include algebraic coding theory, cryptology, and combinatorialdesign theory.

Arithmetic of Finite Fields

Author : Ferruh Özbudak
Publisher : Springer
ISBN 13 : 364231662X
Total Pages : 257 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Arithmetic of Finite Fields by : Ferruh Özbudak

Download or read book Arithmetic of Finite Fields written by Ferruh Özbudak and published by Springer. This book was released on 2012-07-02 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Workshop on the Arithmetic of Finite Field, WAIFI 2012, held in Bochum, Germany, in July 2012. The 13 revised full papers and 4 invited talks presented were carefully reviewed and selected from 29 submissions. The papers are organized in topical sections on coding theory and code-based cryptography, Boolean functions, finite field arithmetic, equations and functions, and polynomial factorization and permutation polynomial.

Finite Geometry and Character Theory

Author : Alexander Pott
Publisher : Springer
ISBN 13 : 3540491821
Total Pages : 185 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Finite Geometry and Character Theory by : Alexander Pott

Download or read book Finite Geometry and Character Theory written by Alexander Pott and published by Springer. This book was released on 2006-11-14 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. This approach is described using only basic knowledge of algebra and algebraic number theory. It contains not only most of our present knowledge about abelian difference sets, but also gives applications of character theory to projective planes with quasiregular collineation groups. Therefore, the book is of interest both to geometers and mathematicians working on difference sets. Moreover, the Fourier transform is important in more applied branches of discrete mathematics such as coding theory and shift register sequences.

Arithmetic of Finite Fields

Author : Çetin Kaya Koç
Publisher : Springer
ISBN 13 : 3319162772
Total Pages : 213 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Arithmetic of Finite Fields by : Çetin Kaya Koç

Download or read book Arithmetic of Finite Fields written by Çetin Kaya Koç and published by Springer. This book was released on 2015-02-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Workshop on the Arithmetic of Finite Field, WAIFI 2014, held in Gebze, Turkey, in September 2014. The 9 revised full papers and 43 invited talks presented were carefully reviewed and selected from 27 submissions. This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on finite field arithmetic, interested in communicating the advances in the theory, applications, and implementations of finite fields. The workshop will help to bridge the gap between the mathematical theory of finite fields and their hardware/software implementations and technical applications.

Information Security, Coding Theory and Related Combinatorics

Author : Dean Crnković
Publisher : IOS Press
ISBN 13 : 1607506629
Total Pages : 460 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Information Security, Coding Theory and Related Combinatorics by : Dean Crnković

Download or read book Information Security, Coding Theory and Related Combinatorics written by Dean Crnković and published by IOS Press. This book was released on 2011 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published in cooperation with NATO Emerging Security Challenges Division"--T.p.

Topics in Galois Fields

Author : Dirk Hachenberger
Publisher : Springer Nature
ISBN 13 : 3030608069
Total Pages : 785 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Topics in Galois Fields by : Dirk Hachenberger

Download or read book Topics in Galois Fields written by Dirk Hachenberger and published by Springer Nature. This book was released on 2020-09-29 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields. We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm. The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science.

New Advances in Designs, Codes and Cryptography

Author : Charles J. Colbourn
Publisher : Springer Nature
ISBN 13 : 303148679X
Total Pages : 442 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis New Advances in Designs, Codes and Cryptography by : Charles J. Colbourn

Download or read book New Advances in Designs, Codes and Cryptography written by Charles J. Colbourn and published by Springer Nature. This book was released on with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Properties of Banach Spaces and Nonlinear Iterations

Author : Charles Chidume
Publisher : Springer
ISBN 13 : 1848821905
Total Pages : 337 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis Geometric Properties of Banach Spaces and Nonlinear Iterations by : Charles Chidume

Download or read book Geometric Properties of Banach Spaces and Nonlinear Iterations written by Charles Chidume and published by Springer. This book was released on 2008-12-21 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e?orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the ?rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in?nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , (?) 2 2 2 2 ||?x+(1??)y|| = ?||x|| +(1??)||y|| ??(1??)||x?y|| , (??) which hold for all x,y? H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, “... many, and probably most, mathematical objects and models do not naturally live in Hilbert spaces”. Consequently,toextendsomeoftheHilbertspacetechniquestomoregeneral Banach spaces, analogues of the identities (?) and (??) have to be developed.

Information Geometry

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540693912
Total Pages : 263 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Information Geometry by :

Download or read book Information Geometry written by and published by Springer Science & Business Media. This book was released on 2021 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Analysis and PDEs

Author : Matthew J. Gursky
Publisher : Springer
ISBN 13 : 364201674X
Total Pages : 256 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Geometric Analysis and PDEs by : Matthew J. Gursky

Download or read book Geometric Analysis and PDEs written by Matthew J. Gursky and published by Springer. This book was released on 2009-07-31 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.

Sequences and Their Applications - SETA 2010

Author : Claude Carlet
Publisher : Springer
ISBN 13 : 3642158749
Total Pages : 465 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Sequences and Their Applications - SETA 2010 by : Claude Carlet

Download or read book Sequences and Their Applications - SETA 2010 written by Claude Carlet and published by Springer. This book was released on 2010-09-07 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 6th International Conference on Sequences and Their Applications held in Paris, France, in September 2010.

Singular Coverings of Toposes

Author : Marta Bunge
Publisher : Springer
ISBN 13 : 3540363602
Total Pages : 229 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Singular Coverings of Toposes by : Marta Bunge

Download or read book Singular Coverings of Toposes written by Marta Bunge and published by Springer. This book was released on 2007-01-19 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a self-contained theory of certain singular coverings of toposes, including branched coverings. This book is distinguished from classical treatments of the subject by its unexpected connection with a topic from functional analysis, namely, distributions. Although primarily aimed at topos theorists, this book may also be used as a textbook for advanced graduate courses introducing topos theory with an emphasis on geometric applications.

Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators

Author : Ivan Veselic
Publisher : Springer Science & Business Media
ISBN 13 : 3540726896
Total Pages : 151 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators by : Ivan Veselic

Download or read book Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators written by Ivan Veselic and published by Springer Science & Business Media. This book was released on 2008-01-02 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes in detail a quantity encoding spectral feature of random operators: the integrated density of states or spectral distribution function. It presents various approaches to the construction of the integrated density of states and the proof of its regularity properties. The book also includes references to and a discussion of other properties of the IDS as well as a variety of models beyond those treated in detail here.

Algebraic Design Theory

Author : Warwick De Launey
Publisher : American Mathematical Soc.
ISBN 13 : 0821844962
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Design Theory by : Warwick De Launey

Download or read book Algebraic Design Theory written by Warwick De Launey and published by American Mathematical Soc.. This book was released on 2011 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial design theory is a source of simply stated, concrete, yet difficult discrete problems, with the Hadamard conjecture being a prime example. It has become clear that many of these problems are essentially algebraic in nature. This book provides a unified vision of the algebraic themes which have developed so far in design theory. These include the applications in design theory of matrix algebra, the automorphism group and its regular subgroups, the composition of smaller designs to make larger designs, and the connection between designs with regular group actions and solutions to group ring equations. Everything is explained at an elementary level in terms of orthogonality sets and pairwise combinatorial designs--new and simple combinatorial notions which cover many of the commonly studied designs. Particular attention is paid to how the main themes apply in the important new context of cocyclic development. Indeed, this book contains a comprehensive account of cocyclic Hadamard matrices. The book was written to inspire researchers, ranging from the expert to the beginning student, in algebra or design theory, to investigate the fundamental algebraic problems posed by combinatorial design theory.

European Congress of Mathematics

Author : Carles Casacuberta
Publisher : Birkhäuser
ISBN 13 : 3034882688
Total Pages : 611 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis European Congress of Mathematics by : Carles Casacuberta

Download or read book European Congress of Mathematics written by Carles Casacuberta and published by Birkhäuser. This book was released on 2012-12-06 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of the proceedings of the third European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners as well as papers by plenary and parallel speakers. The second volume collects articles by prize winners and speakers of the mini-symposia. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: R. Ahlswede, V. Bach, V. Baladi, J. Bruna, N. Burq, X. Cabré, P.J. Cameron, Z. Chatzidakis, C. Ciliberto, G. Dal Maso, J. Denef, R. Dijkgraaf, B. Fantechi, H. Föllmer, A.B. Goncharov, A. Grigor'yan, M. Harris, R. Iturriaga, K. Johansson, K. Khanin, P. Koskela, H.W. Lenstra, Jr., F. Loeser, Y.I. Manin, N.S. Manton, Y. Meyer, I. Moerdijk, E.M. Opdam, T. Peternell, B.M.A.G. Piette, A. Reznikov, H. Schlichtkrull, B. Schmidt, K. Schmidt, C. Simó, B. Tóth, E. van den Ban, M.-F. Vignéras, O. Viro.