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Titlebook: Characters and Cyclotomic Fields in Finite Geometry; Bernhard Schmidt Book 2002 Springer-Verlag Berlin Heidelberg 2002 Barker sequences.Ci

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書目名稱Characters and Cyclotomic Fields in Finite Geometry
編輯Bernhard Schmidt
視頻videohttp://file.papertrans.cn/225/224038/224038.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Characters and Cyclotomic Fields in Finite Geometry;  Bernhard Schmidt Book 2002 Springer-Verlag Berlin Heidelberg 2002 Barker sequences.Ci
描述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<1<4x10^(12). Finally, a conjecturally complete classification of all irreducible cyclic two-weight codes is obtained.
出版日期Book 2002
關鍵詞Barker sequences; Circulant Hadamard matrices; Differences sets; finite geometry; irreducible cyclic cod
版次1
doihttps://doi.org/10.1007/b84213
isbn_softcover978-3-540-44243-1
isbn_ebook978-3-540-45797-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2002
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Characters and Cyclotomic Fields in Finite Geometry978-3-540-45797-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Bernhard SchmidtIncludes supplementary material:
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Lecture Notes in Mathematicshttp://image.papertrans.cn/c/image/224038.jpg
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978-3-540-44243-1Springer-Verlag Berlin Heidelberg 2002
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Book 2002trix Conjecture and Ryser`s 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 two-weight codes is obtained.
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