In paper https://eprint.iacr.org/2011/218.pdf, the author has examined 16! different 4 bit SBoxes and at the end of investigation, introduced an optimal class which named "Golden SBoxes". How can I extract one SBoxes from this class?
I mean by knowing the canonical representation of Golden SBoxes as "035869C7DAE41FB2","03586CB79EADF214","03586AF4ED9217CB" and "03586CB7A49EF12D"(table 4 of paper),
how can I extract the golden sboxes such as Serpent S-Box S3, Hummingbird-1 SBoxes S1, S2, and S3 and Hummingbird-2 SBoxes S0 and S1?