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Designs and their codes
~
Assmus, E. F.
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Designs and their codes
Record Type:
Electronic resources : Monograph/item
Title/Author:
Designs and their codes/ E.F. Assmus, Jr., J.D. Key.
remainder title:
Designs & their Codes
Author:
Assmus, E. F.
other author:
Key, J. D.
Published:
Cambridge :Cambridge University Press, : 1992.,
Description:
x, 352 p. :ill., digital ;24 cm.
Notes:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:
Combinatorial designs and configurations. -
Online resource:
https://doi.org/10.1017/CBO9781316529836
ISBN:
9781316529836
Designs and their codes
Assmus, E. F.
Designs and their codes
[electronic resource] /Designs & their CodesE.F. Assmus, Jr., J.D. Key. - Cambridge :Cambridge University Press,1992. - x, 352 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;103. - Cambridge tracts in mathematics ;103..
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas.
ISBN: 9781316529836Subjects--Topical Terms:
533933
Combinatorial designs and configurations.
LC Class. No.: QA166.25 / .A87 1992
Dewey Class. No.: 511.6
Designs and their codes
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Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas.
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https://doi.org/10.1017/CBO9781316529836
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W9396680
電子資源
11.線上閱覽_V
電子書
EB QA166.25 .A87 1992
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