Orbit-0 Weak Keys in AES-128: Additive Subgroup, Teichmuller Lifting, and the p=17 Hida Ordinary Condition

v3 (Corrigendum + Biomedical Extension). CORRECTION: Lo-Shu singular values corrected from (6.708, 3.317) to exact values (6*sqrt(3)=6.9282, 3*sqrt(3)=3.4641). LSP weights corrected: alpha=0.5907, beta=0.2728, gamma=0.1364. Core result sigma_2/sigma_3=2 (exact integer) is UNCHANGED. NEW (Section 5): Biomedical signal extension. The GF(2^8) Sylow-17 structure partitions physiological signals into arithmetic equilibrium (Z/15Z, order divides 15) and transition states (Sylow-17 component present). Blood glucose: pure equilibrium band = 80-93 mg/dL; 99 mg/dL (0x63=SBOX[0x00], order 17) is the unique Sylow-17 critical boundary coinciding with ADA prediabetes threshold. EEG: alpha-band pure equilibrium frequencies = 8.0, 8.1, 9.2, 9.3 Hz; gamma-band has no pure equilibrium frequencies. Introduces Arithmetic Orbit Trajectory (AOT) framework for time-series analysis.

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-31
DOI
https://doi.org/10.5281/zenodo.20476973
Primary Topic
Heart Rate Variability and Autonomic Control
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Orbit-0 Weak Keys in AES-128: Additive Subgroup, Teichmuller Lifting, and the p=17 Hida Ordinary Condition

Yao-Kai Kao
Zenodo (CERN European Organization for Nuclear Research)
Heart Rate Variability and Autonomic Control
preprint

Orbit-0 Weak Keys in AES-128: Additive Subgroup, Teichmuller Lifting, and the p=17 Hida Ordinary Condition

Yao-Kai Kao
preprint en

Abstract

v3 (Corrigendum + Biomedical Extension). CORRECTION: Lo-Shu singular values corrected from (6.708, 3.317) to exact values (6*sqrt(3)=6.9282, 3*sqrt(3)=3.4641). LSP weights corrected: alpha=0.5907, beta=0.2728, gamma=0.1364. Core result sigma_2/sigma_3=2 (exact integer) is UNCHANGED. NEW (Section 5): Biomedical signal extension. The GF(2^8) Sylow-17 structure partitions physiological signals into arithmetic equilibrium (Z/15Z, order divides 15) and transition states (Sylow-17 component present). Blood glucose: pure equilibrium band = 80-93 mg/dL; 99 mg/dL (0x63=SBOX[0x00], order 17) is the unique Sylow-17 critical boundary coinciding with ADA prediabetes threshold. EEG: alpha-band pure equilibrium frequencies = 8.0, 8.1, 9.2, 9.3 Hz; gamma-band has no pure equilibrium frequencies. Introduces Arithmetic Orbit Trajectory (AOT) framework for time-series analysis.

Zenodo (CERN European Organization for Nuclear Research)
Allen Institute for Brain Science (US)
Heart Rate Variability and Autonomic Control
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.