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Error-Correcting Linear Codes: Classification by Isometry and Applications

Anton Betten, Michael Braun, Harald Fripertinger, Adalbert Kerber, Axel Kohnert, and Alfred Wassermann
Publisher: 
Springer Verlag
Publication Date: 
2006
Number of Pages: 
798
Format: 
Hardcover with CDROM
Series: 
Algorithms and Computation in Mathematics 18
Price: 
89.55
ISBN: 
3540283714
Category: 
Monograph
We do not plan to review this book.

 Preface.- 1 Linear Codes.- 2 Bounds and Modifications.- 3 Finite Fields.- 4 Cyclic Codes.- 5 Particular Series of Cyclic Codes.- 6 Encoding and Decoding of Cyclic Codes.- 7 Mathematics Behind Audio Compact Discs.- 8 Enumeration of Isometry Classes.- 9 Solving Diophantine Linear Systems.- 10 Linear Codes with a Prescribed Minimum Distance.- 11 Exhaustive Construction of Linear Codes.- References

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