Singular code to find superirreducible polynomials over finite fields.
Example commands:
{
% /Applications/Singular.app/Contents/bin/SINGULAR.sh -tq --no-warn char4.sing > char4_4_5.out
grep Yes char4_4_5.out
}
Ref: On 2-superirreducible polynomials over finite fields, Bober, Du, Fretwell, Kopp, and Wooley, 2023.