Abstract
We have seen that for each prime p, there is a field F p of p elements. In fact, given any prime p and an integer r ≥ 1, there is one and only one field F q of q = p r elements. The field F q ⊇ F p and for each α in F q , pα = 0. Conversely, any finite field is F q , for some q = p r (cf. Ref. 18). The field F q is characterized by the property
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Chahal, J.S. (1988). Equations over Finite Fields. In: Topics in Number Theory. The University Series in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0439-3_8
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DOI: https://doi.org/10.1007/978-1-4899-0439-3_8
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