000 02436nam a22003858i 4500
001 CR9781316529836
003 UkCbUP
005 20200124160208.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 150714s1992||||enk o ||1 0|eng|d
020 _a9781316529836 (ebook)
020 _z9780521413619 (hardback)
020 _z9780521458399 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA166.25
_b.A87 1992
082 0 0 _a511/.6
_220
100 1 _aAssmus, E. F.,
_eauthor.
245 1 0 _aDesigns and their codes /
_cE.F. Assmus, Jr., J.D. Key.
246 3 _aDesigns & their Codes
264 1 _aCambridge :
_bCambridge University Press,
_c1992.
300 _a1 online resource (x, 352 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v103
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aAlgebraic 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.
650 0 _aCombinatorial designs and configurations.
650 0 _aCoding theory.
700 1 _aKey, J. D.,
_eauthor.
776 0 8 _iPrint version:
_z9780521413619
830 0 _aCambridge tracts in mathematics ;
_v103.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316529836
999 _c515553
_d515551