Proves a Galois-descent theorem for finite-field Fourier transforms on abelian groups, characterizes spectra via subfield products over cyclotomic classes, and develops residual coding with support minimization and recovery guarantees.
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Cyclotomic finite-field Fourier spectra: Galois descent, native subfields, and residual coding
Proves a Galois-descent theorem for finite-field Fourier transforms on abelian groups, characterizes spectra via subfield products over cyclotomic classes, and develops residual coding with support minimization and recovery guarantees.