Linear feedback shift register tap charts are availale for registers of length 3 to 168. Does anyone have a chart for register lengths from 168 to 256 or beyond?
When I need something on that tune I might use Jörg's useful and ugly page of mathematical data.
In particular, all-trinomial-primpoly gives primitive GF(2) trinomials (LFSR with 2 taps, the minimum number) to degree 400.
Also of interest is eq-primpoly-w5, giving one primitive pentanomial (LFSR with 4 taps) per degree up to 660. The entry
Further, highbit-normalprimpoly gives one primitive polynomial per degree up to 400, selected has having the lowest non-constant term as high as possible. That one is handy for software implementations, for the representation of the polynomials can be compressed into a small bitmask.