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A Note on a Specific Pencil of Conics in the Galois Fields of Order 2^n

Authors
  • Saniga, Metod
Type
Preprint
Publication Date
Dec 21, 2000
Submission Date
Dec 21, 2000
Identifiers
arXiv ID: math/0012214
Source
arXiv
License
Unknown
External links

Abstract

The pencil of conics featuring three degenerate conics each of which is a line-pair is briefly inspected in a Galois field of characteristic two. It is shown that if two degenerates are conjugate imaginary line pairs, the third must be a real line pair; this contradicts Campbell's claim (Campbell 1927) that all the three singular conics are conjugate imaginary line pairs.

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