A commitment can be published before its hidden coordinate is chosen.
Opening one side of each aligned 1-bit DPF pair sets that coordinate or
the vector sum, and a shift moves it onto a public index.
Co-authored-by: Cursor <cursoragent@cursor.com>
Horner and window evaluation need those tables in the tree. Comparison geneval opens the same value words as a Doerner–Shelat key. A factor common to every polynomial term is multiplied first so that preprocessing stays smaller.
Co-authored-by: Cursor <cursoragent@cursor.com>