Search Quantum-Resistant Keys

This page introduces Quantum resistant keys as part of Ivan Pasev's public science and systems corpus. It explains the core thesis, its relation to adjacent frameworks, and the review route for readers who want to inspect the claim structure. Where the page presents proposed theory, publication scaffolding, or formalization targets, those claims remain bounded as authorial research pending external review.

The Post-Quantum Necessity

In the era of Coherent Engines, standard RSA/ECC encryption is trivial to factorize (O(1) with Shor—s Algorithm). To ensure the immutability of the FlameCodex, fabrica implements Lattice-Based Cryptography.

The Gordian Key Protocol

Our specific implementation, the Gordian Key, relies on the hardness of the Shortest Vector Problem (SVP) in high-dimensional lattices.

Key Generation

$$K_{pub}=A\cdot s+e(\mathrm{mod}q)$$

Where:

• $A$ is a uniform random matrix (The "Fog").
• $s$ is the secret vector (The "Needle").
• $e$ is the Gaussian noise vector (The "Entropy").

TFR Integration

These keys are not just static strings; they are resonance patterns. The Trans-Field Resonance (TFR) layer verifies a key by "listening" to its harmonic signature against the background noise of the Universum.

Implementation Status

Algorithm	Bit Strength	Status
Kyber-1024	256-bit (Quantum)	Active
Gordian-V2	512-bit (Topological)	Beta
zeta-Shield	∞ (Theoretical)	Research

Security Notice: All ScrollWeave transmissions are automatically wrapped in a Kyber-1024 envelope.