Explanation 20x20 magic square
The 20x20 magic square is an odd multiple of 4. A Franklin panmagic 20x20 square does not exist (a Franklin [not pan]magic square can be constructed with help of computer programming).
Construction methods
Methods to construct the 20x20 magic square are:
Medjig is a simple 20x20 magic square.
Composite simple gives a panmagic 20x20 square.
Composite AxB compact, composite Matroesjka, composite proportional (1)a, 18x18 in 20x20 and concentric are 'specials'.
Symmetric transformation and basic key method (ultra magic) lead to ultra magic 20x20 squares.
The remaining methods lead to most perfect magic 20x20 squares.