Abstract
A residue system modulo a prime p forms a finite number field of order p. For many applications, we need number fields of p m. Here, with the knowledge acquired in Chaps. 23 and 24, we learn how to construct and represent them, and how to calculate in them.
In Galois fields, full of flowers, Primitive elements dance for hours ...1
S. B. Weinstein, found in [25.1]
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References
F. J. Mac Williams, N. J. A. Sloane: The Theory of Error-Correcting Codes ( North-Holland, Amsterdam 1978 )
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© 1984 Springer-Verlag Berlin Heidelberg
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Schroeder, M.R. (1984). Galois Fields. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02395-2_25
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DOI: https://doi.org/10.1007/978-3-662-02395-2_25
Publisher Name: Springer, Berlin, Heidelberg
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