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Polynomial x norm reconstruction - #156

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Polynomial x norm reconstruction#156
odraccir1 wants to merge 4 commits into
ra/backend_aware_geom_interpolationfrom
ra/poly_reconstruction

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@odraccir1 odraccir1 commented Aug 31, 2026

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Adds backend-aware recovery of polynomial X-norm representations satisfying P² - XQ² = g.

Adds context-backed multiplication of polynomial X-norm representations, providing the composition operation needed to combine factor representations in subsequent arbitrary-polynomial recovery work

Based on #155 (and not directly on master) because I need a branch with both PRs for development purposes.

This comes from the aadp application, but it is a general finite-field polynomial primitive: it is independent of application policy, coefficient-field choice, and multiplication backend.

The full work is split between this PR and the one coming next.

@odraccir1
odraccir1 changed the base branch from master to ra/backend_aware_geom_interpolation August 31, 2026 21:25
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odraccir1 requested review from spaceships and removed request for spaceships August 31, 2026 21:34
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odraccir1 marked this pull request as draft August 31, 2026 22:05
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odraccir1 marked this pull request as ready for review August 31, 2026 23:00
@odraccir1
odraccir1 requested a review from spaceships August 31, 2026 23:11
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