Finite Projective Spaces Of Three Dimensions

Author : James William Peter Hirschfeld
Publisher : Oxford University Press on Demand
ISBN 13 : 9780198535362
Total Pages : 316 pages
Book Rating : 4.68/5 ( download)

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Download or read book Finite Projective Spaces of Three Dimensions written by James William Peter Hirschfeld and published by Oxford University Press on Demand. This book was released on 1985 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained and highly detailed study considers projective spaces of three dimensions over a finite field. It is the second and core volume of a three-volume treatise on finite projective spaces, the first volume being Projective Geometrics Over Finite Fields (OUP, 1979). The present work restricts itself to three dimensions, and considers both topics which are analogous of geometry over the complex numbers and topics that arise out of the modern theory of incidence structures. The book also examines properties of four and five dimensions, fundamental applications to translation planes, simple groups, and coding theory.

Author : James William Peter Hirschfeld
Publisher : Oxford University Press on Demand
ISBN 13 : 9780198502951
Total Pages : 555 pages
Book Rating : 4.58/5 ( download)

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Download or read book Projective Geometries Over Finite Fields written by James William Peter Hirschfeld and published by Oxford University Press on Demand. This book was released on 1998 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: I. Introduction 1. Finite fields 2. Projective spaces and algebraic varieties II. Elementary general properties 3. Subspaces 4. Partitions 5. Canonical forms for varieties and polarities III. The line and the plane 6. The line 7. First properties of the plane 8. Ovals 9. Arithmetic of arcs of degree two 10. Arcs in ovals 11. Cubic curves 12. Arcs of higher degree 13. Blocking sets 14. Small planes Appendix Notation References.

Author : James Hirschfeld
Publisher : Springer
ISBN 13 : 1447167902
Total Pages : 409 pages
Book Rating : 4.07/5 ( download)

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Download or read book General Galois Geometries written by James Hirschfeld and published by Springer. This book was released on 2016-02-03 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular point sets in finite n-dimensional projective spaces. General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level.

Author : Albrecht Beutelspacher
Publisher : Cambridge University Press
ISBN 13 : 9780521483643
Total Pages : 272 pages
Book Rating : 4.46/5 ( download)

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Download or read book Projective Geometry written by Albrecht Beutelspacher and published by Cambridge University Press. This book was released on 1998-01-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.

Author : Peter Jephson Cameron
Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.68/5 ( download)

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Download or read book Projective and Polar Spaces written by Peter Jephson Cameron and published by . This book was released on 1992 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : James William Peter Hirschfeld
Publisher :
ISBN 13 : 9781383020519
Total Pages : 0 pages
Book Rating : 4.15/5 ( download)

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Download or read book Projective Geometries Over Finite Fields written by James William Peter Hirschfeld and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a complete reworking of the out-of-print first volume of a three- volume treatise on finite projective spaces; this is the only extended work in the area. This work will be of interest to researchers, postgraduates and final year students.

Author : Rudolf Lidl
Publisher : Cambridge University Press
ISBN 13 : 9780521392310
Total Pages : 784 pages
Book Rating : 4.14/5 ( download)

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Download or read book Finite Fields written by Rudolf Lidl and published by Cambridge University Press. This book was released on 1997 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted entirely to the theory of finite fields.

Author : Aart Blokhuis
Publisher : Springer Science & Business Media
ISBN 13 : 1461302838
Total Pages : 366 pages
Book Rating : 4.34/5 ( download)

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Download or read book Finite Geometries written by Aart Blokhuis and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following inter-linked areas: • combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest; • geometric and algebraic coding theory; • finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries; • algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory.

Author : Marcus Greferath
Publisher : Springer
ISBN 13 : 3319702939
Total Pages : 442 pages
Book Rating : 4.33/5 ( download)

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Download or read book Network Coding and Subspace Designs written by Marcus Greferath and published by Springer. This book was released on 2018-01-29 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by experts from universities and major research laboratories, addresses the hot topic of network coding, a powerful scheme for information transmission in networks that yields near-optimal throughput. It introduces readers to this striking new approach to network coding, in which the network is not simply viewed as a mechanism for delivering packets, but rather an algebraic structure named the subspace, which these packets span. This leads to a new kind of coding theory, employing what are called subspace codes. The book presents selected, highly relevant advanced research output on: Subspace Codes and Rank Metric Codes; Finite Geometries and Subspace Designs; Application of Network Coding; Codes for Distributed Storage Systems. The outcomes reflect research conducted within the framework of the European COST Action IC1104: Random Network Coding and Designs over GF(q). Taken together, they offer communications engineers, R&D engineers, researchers and graduate students in Mathematics, Computer Science, and Electrical Engineering a comprehensive reference guide to the construction of optimal network codes, as well as efficient encoding and decoding schemes for a given network code.

Author : Charles J. Colbourn
Publisher : CRC Press
ISBN 13 : 9781420049954
Total Pages : 778 pages
Book Rating : 4.5X/5 ( download)

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Download or read book CRC Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2010-12-12 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers: