"According to the Radio Engineers Handbook, it shows nine possible ways
(including Ayrton-Perry) to wind a resistor with "that minimize reactive
effects". Under the section,"Non-reactive Wire-wound Resistors", it
says,"To keep the inductance low, each turn should enclose the minimum
possible area, and the wire should have as many ohms per foot of length
as possible so that the length required to obtain the desired resistance
will be small". Of course we all know this as we'd be winding an
inductor, the more turns, the more inductance. Then it goes on, "In
addition, it is desirable that adjacent turns carry current in opposite
directions so that the residual inductance of an individual turn is
neutralized by the effect of the adjacent turns. A low capacitive
reactance associated with a resistor is obtained by arranging the
winding in such a way that adjacent turns of wire have a low potential
difference between them and as far apart as possible".
There are tables that will give you the ohms per length of wire. That would be a good start.
j.