Windows is based on VMS which was based on RSX-11. Rsx-11 was the OS that Unix was written on.
So a truly traditionally authentic Linux kernel should be compiled under Windows.
I realize you’re trying to be funny, but just in case you don’t know the actual history:
The Windows NT kernel was architected by Dave Cutler, who had previously designed the VMS and RSX-11M kernels. (RSX-11 is actually a family of PDP-11 operating systems; the “M” stood for “multitasking.”) No code was ever shared between the three.
The Unix implementation team started out on a PDP-7, which was a much smaller computer than a PDP-11. Its first code was cross-compiled from a GE 635 mainframe left over at AT&T from the Multics project, which (if it ran anything) would have only had GECOS available. They did eventually graduate to a PDP-11/45, but to do this they used their PDP-7 system to cross-compile. Unix was ported to the PDP-11 in 1970, two years before the first RSX-11 release from DEC (which wasn’t even Cutler’s RSX-11M; that was 1974).
The appropriate precursor to Linux would be Minix, a much later Unix-like system, which Torvalds was trying to clone. At the time, Microsoft did have its hands in the x86 'nix pie, however; Xenix was popular in business.
A minor correction:
No code was ever shared between the three.
I remember the lawsuit threats back in the 90’s. Here’s an article from 1996:
“Last year, somone from the Massachusetts Institute of Technology apparently found whole chunks of Mica comment for comment, note for note still there in Windows NT.”
https://techmonitor.ai/technology/dec_forced_microsoft_into_alliance_with_legal_threat