The Resource Characters and cyclotomic fields in finite geometry, Bernhard Schmidt
Characters and cyclotomic fields in finite geometry, Bernhard Schmidt
Resource Information
The item Characters and cyclotomic fields in finite geometry, Bernhard Schmidt represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Characters and cyclotomic fields in finite geometry, Bernhard Schmidt represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 Rysers̀ conjecture since decades. It is shown that there is no Barker sequence of length l with 13<1<4x10(̂12). Finally, a conjecturally complete classification of all irreducible cyclic twoweight codes is obtained
 Language
 eng
 Extent
 1 online resource (viii, 100 pages).
 Contents

 1. Introduction: The nature of the problems
 The combinatorial structures in question
 Group rings, characters, Fourier analysis
 Number theoretic tools
 Algebraiccombinatorial tools. 2. The field descent: The fixing theorem
 Prescribed absolute value
 Bounding the absoute value
 The modulus equation and the class group. 3. Exponent bounds: Selfconjugacy exponent bounds
 Field descent exponent bounds. 4. Twoweight irreducible cyclic bounds: A necessary and sufficient condition
 All twoweight irreducible cyclic codes? Partial proof of Conjecture 4.2.4
 Twointersection sets and subdifference sets
 Isbn
 9783540457978
 Label
 Characters and cyclotomic fields in finite geometry
 Title
 Characters and cyclotomic fields in finite geometry
 Statement of responsibility
 Bernhard Schmidt
 Language
 eng
 Summary
 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 Rysers̀ conjecture since decades. It is shown that there is no Barker sequence of length l with 13<1<4x10(̂12). Finally, a conjecturally complete classification of all irreducible cyclic twoweight codes is obtained
 Cataloging source
 COO
 http://library.link/vocab/creatorDate
 1967
 http://library.link/vocab/creatorName
 Schmidt, Bernhard
 Dewey number

 510 s
 516/.13
 Index
 index present
 Language note
 English
 LC call number

 QA3
 QA167.2
 LC item number
 .L28 no. 1797
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 1797
 http://library.link/vocab/subjectName

 Finite geometries
 Difference sets
 Cyclotomy
 Cyclotomy
 Difference sets
 Finite geometries
 Label
 Characters and cyclotomic fields in finite geometry, Bernhard Schmidt
 Bibliography note
 Includes bibliographical references (pages 9198) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Introduction: The nature of the problems  The combinatorial structures in question  Group rings, characters, Fourier analysis  Number theoretic tools  Algebraiccombinatorial tools. 2. The field descent: The fixing theorem  Prescribed absolute value  Bounding the absoute value  The modulus equation and the class group. 3. Exponent bounds: Selfconjugacy exponent bounds  Field descent exponent bounds. 4. Twoweight irreducible cyclic bounds: A necessary and sufficient condition  All twoweight irreducible cyclic codes? Partial proof of Conjecture 4.2.4  Twointersection sets and subdifference sets
 Control code
 50993306
 Dimensions
 unknown
 Extent
 1 online resource (viii, 100 pages).
 Form of item
 online
 Isbn
 9783540457978
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/b84213.
 Specific material designation
 remote
 System control number
 (OCoLC)50993306
 Label
 Characters and cyclotomic fields in finite geometry, Bernhard Schmidt
 Bibliography note
 Includes bibliographical references (pages 9198) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Introduction: The nature of the problems  The combinatorial structures in question  Group rings, characters, Fourier analysis  Number theoretic tools  Algebraiccombinatorial tools. 2. The field descent: The fixing theorem  Prescribed absolute value  Bounding the absoute value  The modulus equation and the class group. 3. Exponent bounds: Selfconjugacy exponent bounds  Field descent exponent bounds. 4. Twoweight irreducible cyclic bounds: A necessary and sufficient condition  All twoweight irreducible cyclic codes? Partial proof of Conjecture 4.2.4  Twointersection sets and subdifference sets
 Control code
 50993306
 Dimensions
 unknown
 Extent
 1 online resource (viii, 100 pages).
 Form of item
 online
 Isbn
 9783540457978
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/b84213.
 Specific material designation
 remote
 System control number
 (OCoLC)50993306
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