CEH-Orbit

Traditional digital signatures verify “whether the computation is correct”,
CEH-Orbit verifies “whether the trajectory (orbit) is correct”.

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⚡ Core Idea (One Line)

CEH-Orbit = Algebra Verification + Orbit Consistency

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⚔️ Key Differences

Traditional Signatures (Dilithium / Falcon)	CEH-Orbit
Algebraic equality verification	Algebra + Orbit structure verification
Requires exact equality	Extendable to tolerance-based orbit
Not interpretable	Visualizable (LSH / Phase / Waveform)
No structural compression	OrbitHead (128-bit + Phase)

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🔬 Experimental Results (Current Version)

Performance

Metric	CEH-Orbit
Signing Time	~0.35 ms
Verification Time	~0.28 ms
Signature Size	~624 Bytes

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Security (Empirical)

Test	Result
Random Attack	0 / 10000 success
Head Collision	0 / 100000
Challenge Collision	Not observed

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🌊 Orbit Sensitivity (Key Finding)

Perturbation	PASS Rate
±1	100%
±5	100%
±9	100%
±10	0%

👉 Shows a clear non-linear acceptance basin

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🧠 Intuition

Traditional signature: “compute correctly”
CEH-Orbit: “follow the correct trajectory”

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🚀 Project Overview

CEH-Orbit is a research-oriented post-quantum authentication / signature project
built around Orbit Mapping.

It provides:

• Protocol prototype
• Qt visualization tool
• Technical specification
• Whitepaper
• Paper draft
• License & disclaimer

This project does NOT aim to replace existing PQC standards,
but to establish a runnable, observable, debuggable research baseline
for a new direction: Orbit Cryptography.

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1. Project Positioning

CEH-Orbit is:

• A research prototype
• A geometric verification exploration
• A Qt visualization platform
• A Spec / Whitepaper / Paper combined project

Key ideas:

• Goes beyond strict algebra equality
• Introduces OrbitHead
• Uses LSH + Phase compression
• Uses Fiat-Shamir style challenge
• Includes attack / collision / stability testing

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2. Core Concept

Traditional lattice signatures focus on:

• Algebra closure
• Hardness reduction
• Tight error control

CEH-Orbit explores:

Mapping high-dimensional algebra into low-dimensional orbit descriptors,
then verifying consistency in orbit space.

Core components:

• OrbitTrace_W
• OrbitHead
• LSH
• Phase
• GeometricPivot
• EncodedOrbit_Z
• RecoveredOrbit_W

Enables:

• Visualization
• Dynamic behavior
• Sensitivity testing
• Acceptance basin study

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3. Project Contents

Engineering

• Qt demo (single / multi file)
• CMake build
• OpenSSL hashing

Documents

• Whitepaper
• Paper
• Spec
• USAGE
• Disclaimer
• Third-party notes

Experiments

• Sign / Verify loop
• Attack simulation
• Perturbation test
• Collision test
• Phase stability
• Visualization

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4. Structure

Demo/
├── assets/
├── docs/
│   ├── CEH-Orbit_Paper.md
│   ├── CEH-Orbit_Spec_V1.md
│   ├── CEH-Orbit_Whitepaper_V1.md
│   ├── DISCLAIMER.md
│   ├── THIRD_PARTY_NOTICES.md
│   └── USAGE.md
├── CMakeLists.txt
├── main.cpp
├── README.md
├── LICENSE.md
└── resources.qrc

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5. Quick Start

Build

mkdir -p build
cd build
cmake ..
cmake --build . -j

Run

./CEH_Orbit

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6. UI Overview

Left:

• Parameters
• Controls
• Logs

Right:

• LSH grid
• Phase chart
• Z waveform
• W waveform

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7. Workflow

KeyGen → Sign → Verify → Attack → Real-time

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8. Expected Results

• Verify = PASS
• LSH = 0
• Phase = 0
• Orbit lock = PASS

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9. Scope

This IS

• Research prototype
• Visualization tool
• Experimental system

This IS NOT

• Production crypto
• Proven secure system
• Side-channel safe

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10. Completed

• Message binding
• OrbitHead
• Geometry check
• Attack tests
• Visualization

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11. Future Work

• Security reduction
• Higher dimensions
• Noise model
• τ tolerance
• NTT optimization
• Hardware

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12. Reading Order

README → USAGE → Spec → Whitepaper → Paper

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13. Usage

• Developers → Spec
• Demo → Qt
• Research → Full docs

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14. License

• Free for research
• Commercial use requires authorization

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15. Contact

Author: Chen Enhua
Email: a106079595@qq.com