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Abstract

In this chapter we introduce linear codes. The algebraic structure of linear codes provides a framework from which efficient encoding and decoding algorithms can be constructed. Many error-correcting codes in use and under investigation are subclasses of linear codes defined by imposing additional structural constraints. The cyclic codes of Chapter 5 are a prime example, and the BCH-codes of Chapter 6 are a further refinement of these.

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© 1989 Springer Science+Business Media New York

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Vanstone, S.A., van Oorschot, P.C. (1989). Linear Codes. In: An Introduction to Error Correcting Codes with Applications. The Springer International Series in Engineering and Computer Science, vol 71. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2032-7_3

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  • DOI: https://doi.org/10.1007/978-1-4757-2032-7_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5117-5

  • Online ISBN: 978-1-4757-2032-7

  • eBook Packages: Springer Book Archive

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