Codes on Euclidean spheres (Record no. 21736)
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| fixed length control field | 06245cam a2200637Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn162130905 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20141103172224.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 070802s2001 ne a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | |
| Language of cataloging | eng |
| Transcribing agency | OPELS |
| Modifying agency | OPELS |
| -- | OCLCQ |
| -- | N$T |
| -- | YDXCP |
| -- | MERUC |
| -- | E7B |
| -- | IDEBK |
| -- | TULIB |
| -- | OCLCO |
| -- | OCLCQ |
| -- | OPELS |
| -- | OCLCF |
| -- | DEBBG |
| 019 ## - | |
| -- | 53254068 |
| -- | 441804076 |
| -- | 647688689 |
| -- | 779919565 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444503299 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444503293 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0585473854 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780585473857 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0080502164 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780080502168 (electronic bk.) |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 12434602 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000048130099 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV039830132 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV036962264 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)162130905 |
| Canceled/invalid control number | (OCoLC)53254068 |
| -- | (OCoLC)441804076 |
| -- | (OCoLC)647688689 |
| -- | (OCoLC)779919565 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 122659:127465 |
| Source of stock number/acquisition | Elsevier Science & Technology |
| Note | http://www.sciencedirect.com |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA166.7 |
| Item number | .E75 2001eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | Q |
| Source | lcco |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 036000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511/.6 |
| Edition number | 22 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | TEFA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ericson, Thomas. |
| 245 10 - TITLE STATEMENT | |
| Title | Codes on Euclidean spheres |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | Thomas Ericson, Victor Zinoviev. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | New York : |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiii, 549 p.) : |
| Other physical details | ill. |
| 490 1# - SERIES STATEMENT | |
| Series statement | North-Holland mathematical library, |
| International Standard Serial Number | 0924-6509 ; |
| Volume/sequential designation | v. 63 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Codes on Euclidean spheres are often referred to as spherical codes. They are of interest from mathematical, physical and engineering points of view. Mathematically the topic belongs to the realm of algebraic combinatorics, with close connections to number theory, geometry, combinatorial theory, and - of course - to algebraic coding theory. The connections to physics occur within areas like crystallography and nuclear physics. In engineering spherical codes are of central importance in connection with error-control in communication systems. In that context the use of spherical codes is often referred to as "coded modulation." The book offers a first complete treatment of the mathematical theory of codes on Euclidean spheres. Many new results are published here for the first time. Engineering applications are emphasized throughout the text. The theory is illustrated by many examples. The book also contains an extensive table of best known spherical codes in dimensions 3-24, including exact constructions. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. 519-540) and index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Contents -- Chapter 1. Introduction -- 1.1 Definitions and basic properties -- 1.2 Examples of spherical codes -- 1.3 Two basic functions -- 1.4 The Rankin bounds -- 1.5 The Simplex and the Biorthogonal codes -- 1.6 The Chabauty-Shannon-Wyner bound -- 1.7 The direct sum -- Chapter 2. The linear programming bound -- 2.1 Introduction -- 2.2 Spherical polynomials -- 2.3 The linear programming bound -- 2.4 Orthogonal polynomials -- 2.5 The Levenshtein bound -- 2.6 The Boyvalenkov-Danev-Bumova criterion -- 2.7 Properties of the Levenshtein bound -- Chapter 3. Codes in dimension n=3 -- 3.1 Introduction -- 3.2 The optimal codes -- 3.3 Additional comments -- 3.4 The Fejes T�oth bound -- 3.5 Optimality in the case M=7 -- 3.6 The Coxeter-B�or�oczky extension -- 3.7 Thirteen spheres -- Chapter 4. Permutation codes -- 4.1 Introduction -- 4.2 Variant 1 -- 4.3 Best variant 1 codes -- 4.4 Variant 2a -- 4.5 Variant 2b -- 4.6 Dimensionality -- 4.7 Decoding -- 4.8 General comments -- Chapter 5. Symmetric alphabets -- 5.1 Introduction -- 5.2 An introductory example -- 5.3 Binary labeling -- 5.4 The construction. 2 K 4 -- 5.5 The construction: general case -- 5.6 A simple example -- 5.7 Analysis -- 5.8 Explicit constructions -- 5.9 Unions -- 5.10 Extensions -- 5.11 Concluding remarks -- Chapter 6. Non-symmetric alphabets -- 6.1 Introduction -- 6.2 The binary balanced mapping -- 6.3 Comments -- 6.4 Unions from the CW2-construction -- 6.5 Non-symmetric ternary alphabet -- 6.6 The general balanced construction -- Chapter 7. Polyphase codes -- 7.1 Introduction -- 7.2 General properties -- 7.3 The case q = 3 -- 7.4 The case q = 4 -- 7.5 The case q = 6 -- 7.6 The case q = 8 -- 7.7 Two special constructions -- 7. 8 A general comment -- Chapter 8. Group codes -- 8.1 Introduction -- 8.2 Basic properties -- 8.3 Groups represented by matrices -- 8.4 Group codes in binary Hamming spaces -- 8.5 Group codes from binary codes -- 8.6 Dual codes and MacWilliams' identity -- 8.7 Finite reflection groups -- 8.8 Codes from finite reflection groups -- 8.9 Examples -- 8.10 Remarks on some specific codes -- Chapter 9. Distance regular spherical codes -- 9.1 Introduction -- 9.2 Association schemes -- 9.3 Metric schemes -- 9.4 Strongly regular graphs -- 9.5 The absolute bound -- 9.6 Spherical designs -- 9.7 Regular polytopes -- Chapter 10. Lattices -- 10.1 Introduction -- 10.2 Lattices -- 10.3 The root lattices -- 10.4 Sphere packings and packing bounds -- 10.5 Sphere packings and codes -- 10.6 Lattices and codes -- 10.7 Expurgated constructions -- 10.8 The Leech lattice -- 10.9 Theta functions -- 10.10 Spherical codes from lattices -- 10.11 Theta function. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Sphere packings. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Combinatorics. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Sphere packings. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01129672 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Zinoviev, Victor. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Ericson, Thomas. |
| Title | Codes on Euclidean spheres. |
| Edition | 1st ed. |
| Place, publisher, and date of publication | Amsterdam ; New York : Elsevier, 2001 |
| International Standard Book Number | 0444503293 |
| -- | 9780444503299 |
| Record control number | (DLC) 2001033122 |
| -- | (OCoLC)46641954 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | North-Holland mathematical library ; |
| Volume number/sequential designation | v. 63. |
| International Standard Serial Number | 0924-6509 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/book/9780444503299">http://www.sciencedirect.com/science/book/9780444503299</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/publication?issn=09246509&volume=63">http://www.sciencedirect.com/science/publication?issn=09246509&volume=63</a> |
| Materials specified | Volltext |
| 938 ## - | |
| -- | YBP Library Services |
| -- | YANK |
| -- | 2335340 |
| 938 ## - | |
| -- | ebrary |
| -- | EBRY |
| -- | ebr10203585 |
| 938 ## - | |
| -- | Ingram Digital eBook Collection |
| -- | IDEB |
| -- | 105005 |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 91124 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E(electronic)-Books |
| 994 ## - | |
| -- | C0 |
| -- | TEF |
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