Primitive free cubics with specified norm and trace

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11 Citations (Scopus)

Abstract

The existence of a primitive free (normal) cubic x(3) ax(2) + cx b over a finite field F with arbitrary specified values of a (not equal 0) and b (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby completed.

Original languageEnglish
Pages (from-to)3099-3116
Number of pages18
JournalTransactions of the American Mathematical Society
Volume355
Issue number8
DOIs
Publication statusPublished - Aug 2003

Keywords

  • Normal bases
  • Fields
  • Sums

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