GitHub - A19dammer91/MRS-Hybride-PQC: Hybrid Post-Quantum cryptographic library: Kyber1024 KEM + MRS(19,9) Diophantine key derivation + AES-256-GCM encryption. · GitHub
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MRS Hybride PQC
Hybrid Post-Quantum cryptographic library combining Kyber1024 KEM,<br>MRS(19,9) Diophantine key derivation, and AES-256-GCM encryption.
Overview
This library couples a post-quantum key encapsulation mechanism<br>(Kyber1024, NIST Security Level 5) with a fast, constant-time<br>number-theoretic key derivation step based on the MRS(19,9) Diophantine<br>decomposition system. The two derived values are combined via XOR into<br>a single session key, which is then used for authenticated encryption.
Architecture
Stage<br>Function<br>Description
Block 1<br>kyber_keygen, kyber_encapsulate, kyber_decapsulate<br>Kyber1024 key encapsulation
Block 2<br>derive_mrs_master_key<br>MRS(19,9) decomposition → fast O(1) key derivation (A0 = N mod 9)
Coupling<br>hybrid_coupling<br>k_combined = k1 XOR mk
Block 3<br>encrypt_payload, decrypt_payload<br>AES-256-GCM AEAD encryption/decryption
Important: the MRS(19,9) component is a constant-time, O(1)<br>key-derivation step, not an independent security layer. When<br>session_id is public (the default usage pattern), derive_mrs_master_key<br>contributes no additional entropy; all cryptographic security in that<br>case comes from Kyber1024's k1. See Limitations below for when this<br>step does add independent security value.
Usage
use mrs_auth_pqc::MrsAuthKem;
let keypair = MrsAuthKem::kyber_keygen();
let packet = MrsAuthKem::full_encrypt(<br>&keypair.public_key,<br>session_id,<br>hkdf_context,<br>&nonce,<br>associated_data,<br>plaintext,<br>)?;
let plaintext = MrsAuthKem::full_decrypt(<br>&keypair.secret_key,<br>&packet,<br>session_id,<br>hkdf_context,<br>&nonce,<br>associated_data,<br>)?;
Build & Test
To validate the internal number-theoretic tests:
cargo test
To bench the official microsecond/nanosecond speed performance yourself:
cargo bench
Limitations
derive_mrs_master_key is deterministic and operates on whatever session_id it is given. If session_id is known to an attacker (the common case), mk provides no security margin. All confidentiality relies entirely on Kyber1024's k1.
For the MRS step to contribute independent entropy, session_id would need to be a secret shared via a channel independent of this library, which introduces its own key-distribution problem.
This library has not undergone external cryptographic review.
The primary demonstrated contribution of MRS(19,9) is speed: a constant-time O(1) derivation path, not an additional security guarantee, when used with public session identifiers.
Dependencies
pqcrypto-kyber - Kyber1024 post-quantum KEM
aes-gcm - AES-256-GCM AEAD encryption
sha2 - SHA-256 for MRS master key derivation
License
Apache-2.0
Author
Bilal El Issaoui
About
Hybrid Post-Quantum cryptographic library: Kyber1024 KEM + MRS(19,9) Diophantine key derivation + AES-256-GCM encryption.
Resources
Readme
License
Apache-2.0 license
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