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Linear codes

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Coding Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 201))

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In this chapter we construct codes for a discrete memoryless channel for which the input and output alphabets are a set of q symbols where q is a power of a prime, q = pα. In this case we can identify these alphabets with the elements of GF(q). We are going to construct block codes, i.e. codes in which all code words have the same length n which is called the block length or word length.

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© 1971 Springer-Verlag Berlin · Heidelberg

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(1971). Linear codes. In: Coding Theory. Lecture Notes in Mathematics, vol 201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36657-7_2

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  • DOI: https://doi.org/10.1007/978-3-540-36657-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06363-6

  • Online ISBN: 978-3-540-36657-7

  • eBook Packages: Springer Book Archive

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