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Titlebook: Coding Theory and Design Theory; Part I Coding Theory Dijen Ray-Chaudhuri Conference proceedings 1990 Springer-Verlag New York, Inc. 1990 C

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书目名称Coding Theory and Design Theory
副标题Part I Coding Theory
编辑Dijen Ray-Chaudhuri
视频videohttp://file.papertrans.cn/229/228896/228896.mp4
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: Coding Theory and Design Theory; Part I Coding Theory Dijen Ray-Chaudhuri Conference proceedings 1990 Springer-Verlag New York, Inc. 1990 C
描述This IMA Volume in Mathematics and its Applications Coding Theory and Design Theory Part I: Coding Theory is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year­ long program. We especially thank the Workshop Organizer, Dijen Ray-Chaudhuri, for organizing a workshop which brought together many of the major figures in a variety of research fields in which coding theory and design theory are used. A vner Friedman Willard Miller, Jr. PREFACE Coding Theory and Design Theory are areas of Combinatorics which found rich applications of algebraic structures. Combinatorial designs are generalizations of finite geometries. Probably, the history of Design Theory begins with the 1847 pa­ per of Reverand T. P. Kirkman "On a problem of Combinatorics", Cambridge and Dublin Math. Journal. The great Statistician R. A. Fisher reinvented the concept of combinatorial 2-design in the twentieth century. Extensive application of alge­ braic structures fo
出版日期Conference proceedings 1990
关键词Combinatorics; algorithms; coding theory; communication; graphs
版次1
doihttps://doi.org/10.1007/978-1-4613-8994-1
isbn_softcover978-1-4613-8996-5
isbn_ebook978-1-4613-8994-1Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer-Verlag New York, Inc. 1990
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J. Allan Feurtado,Allison R. Kermodeexploring further the notions that were introduced in [1]. There we defined the hull, ., of a design . over a finite field ., where . is a prime that divides the order . of the design: if . denotes the code of . over .., defined to be the space spanned by the characteristic functions of the blocks o
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Leónie Bentsink,Maarten Koornneefessary and sufficient condition is found to determine when a metric scheme admits a nontrivial perfect multiple covering. Results specific to the classical Hamming and Johnson schemes are given which bear out the relationship between .-designs, orthogonal arrays, and perfect multiple coverings.
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Seed Structure and Composition,ruct . codes. The ideas are based on generalizations of so-called .. The (by now) “classical” Goppa codes (1970, cf.[6]) were already a great improvement on codes known at that time. The algebraic geometric codes were also inspired by ideas of Goppa but the most sensational development was a paper b
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