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The Theory of Error-Correcting Codes

Publisher: 
North Holland
Number of Pages: 
782
Price: 
155.00
ISBN: 
0444851933
Date Received: 
Tuesday, July 25, 2006
Reviewable: 
Yes
Include In BLL Rating: 
Yes
F. J. MacWilliams and N. J. A. Sloane
Series: 
North-Holland Mathematical Library
Publication Date: 
1988
Format: 
Hardcover
Audience: 
Category: 
Textbook
BLL Committee
02/17/2009
BLL Rating: 

 Linear Codes. Nonlinear Codes, Hadamard Matrices, Designs and the Golay Code. An Introduction to BCH Codes and Finite Fields. Finite Fields. Dual Codes and Their Weight Distribution. Codes, Designs and Perfect Codes. Cyclic Codes. Cyclic Codes: Idempotents and Mattson-Solomon Polynomials. BCH Codes. Reed-Solomon and Justesen Codes. MDS Codes. Alternant, Goppa and Other Generalized BCH Codes. Reed-Muller Codes. First-Order Reed-Muller Codes. Second-Order Reed-Muller, Kerdock and Preparata Codes. Quadratic-Residue Codes. Bounds on the Size of a Code. Methods for Combining Codes. Self-dual Codes and Invariant Theory. The Golay Codes. Association Schemes. Appendix A. Tables of the Best Codes Known. Appendix B. Finite Geometries. Bibliography. Index.

Publish Book: 
Modify Date: 
Tuesday, February 17, 2009

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