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Currently displaying 1 – 7 of 7

Order by Relevance | Title | Year of publication

The totally real $A_{6}$ extension of degree 6 with minimum discriminant.

Ford, David; Pohst, Michael — 1993

Experimental Mathematics

On Wendt's determinant and Sophie Germain's theorem.

Ford, David; Jha, Vijay — 1993

Experimental Mathematics

The totally real $A_{5}$ extension of degree 6 with minimum discriminant.

Ford, David; Pohst, Michael — 1992

Experimental Mathematics

Determinants of Latin squares of order 8.

Ford, David; Johnson, Kenneth W. — 1996

Experimental Mathematics

The $S_{5}$ extensions of degree 6 with minimum discriminant.

Ford, David; Pohst, Michael; Daberkow, Mario; Haddad, Nasser — 1998

Experimental Mathematics

Implementing the Round Four maximal order algorithm

David Ford; Pascal Letard — 1994

Journal de théorie des nombres de Bordeaux

A fast algorithm for polynomial factorization over $ℚ_{p}$

David Ford; Sebastian Pauli; Xavier-François Roblot — 2002

Journal de théorie des nombres de Bordeaux

We present an algorithm that returns a proper factor of a polynomial $Φ (x)$ over the $p$ -adic integers $ℤ_{p}$ (if $Φ (x)$ is reducible over $ℚ_{p}$ ) or returns a power basis of the ring of integers of $ℚ_{p} [x] / Φ (x) ℚ_{p} [x]$ (if $Φ (x)$ is irreducible over $ℚ_{p}$ ). Our algorithm is based on the Round Four maximal order algorithm. Experimental results show that the new algorithm is considerably faster than the Round Four algorithm.

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