Number-Theoretic Ultrametric Foundations: A Unified p-adic Framework for Error-Correcting Code Classification
A unified framework connecting p-adic valuation theory, Mahler spectral expansions, Kodaira-Neron fiber classification, and the Amice transform to the classification of quantum error-correcting codes. Three conjectures with 14 lemmas, computational verification across 4 code families at 83% classification rate.
Number-Theoretic Ultrametric Foundations: A Unified p-adic Framework for Error-Correcting Code Classification
Authors: QNFO Research Collective
Published: 2026-07-04
DOI: [10.5281/zenodo.21193487](https://doi.org/10.5281%2Fzenodo.21193487)
Abstract
A unified framework connecting p-adic valuation theory, Mahler spectral expansions, Kodaira-Neron fiber classification, and the Amice transform to the classification of quantum error-correcting codes. Three conjectures with 14 lemmas, computational verification across 4 code families at 83% classification rate.
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This paper is part of the QNFO research corpus.