We present new formulas for solving quadratic equations with distinct roots in certain finite fields. We develop in detail formulas for solving such quadratics over GF (4), GF(16), and GF (256) and the approach we take is applicable for solving quadratics over GF (2k), with k a power of 2.
Published in:
Information Theory, IEEE Transactions on
(Volume:45
,
Issue:
1
)
Date of Publication: Jan. 1999