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Books > Science & Mathematics > Mathematics > Algebra
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Designs and their Codes (Paperback, Revised)
Loot Price: R2,425
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Designs and their Codes (Paperback, Revised)
Series: Cambridge Tracts in Mathematics
Expected to ship within 12 - 19 working days
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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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