Abstract
In this chapter we will study traces and norms, which are very useful analytic tools in finite fields. Traces and norms can be computed in any field, finite or not; for example in the field of complex numbers the trace of z equals twice the real part of z, and the norm of z equals the square of the absolute value of z. In finite fields, however, the definition is subtler and the results more useful.
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© 1987 Kluwer Academic Publishers
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McEliece, R.J. (1987). Trace, Norm, and Bit-Serial Multiplication. In: Finite Fields for Computer Scientists and Engineers. The Kluwer International Series in Engineering and Computer Science, vol 23. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1983-2_8
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DOI: https://doi.org/10.1007/978-1-4613-1983-2_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9185-5
Online ISBN: 978-1-4613-1983-2
eBook Packages: Springer Book Archive