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Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics)



eBook Information



Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics)

ISBN  3540289909
Release Date  22 December 2005
Category  Algorithms
Tags  classification,  
mathematics,  
algorithms,  
algorithm,  
code,  
discrete mathematics,  
math,  
error correcting codes,  
mathematic,  
mastering algorithms,  
"mathematic",  
class,  
numerical mathematics,  
computation,  
convolutional codes,  
"classification algorithms",  
"algorithms",  
write great code,  
low-density parity-check codes,  
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Description

This book considers one of the basic problems in discrete mathematics: given a collection of constraints, describe up to isomorphism all the objects that meet them. Only a handful of classification results for combinatorial objects are dated before the mid-20th century; indeed, it is through modern computers and recent developments in algorithms that this topic has flourished and matured. This book is the first comprehensive reference on combinatorial classification algorithms, with emphasis on both the general theory and application to central families of combinatorial objects, in particular, codes and designs. The accompanying DVD provides an exhaustive catalogue of combinatorial objects with small parameters. The book will be of great interest to researchers and can be used as course material for graduate courses in both computer science and mathematics.









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