**EchoPulse: Adaptive Symbolic Key Encapsulation Framework for Cybersecurity, Embedded Defense Systems, and Post-Quantum Resilience**

**EchoPulse: Adaptive Symbolic Key Encapsulation Framework for Cybersecurity, Embedded Defense Systems, and Post-Quantum Resilience**

This report introduces *EchoPulse*, a novel Key Encapsulation Mechanism (KEM) that departs from classical algebraic cryptography and instead utilizes a deterministic, symbolic graph-based state system to establish secure shared secrets. Designed for embedded devices and security-focused environments, EchoPulse offers a lightweight yet robust cryptographic primitive optimized for post-quantum conditions.

Unlike lattice-based or code-based schemes, EchoPulse is built upon non-algebraic transitions over a finite state graph `G(V,E)` with 256 symbolic inputs, deterministic mutation (`μ`) per session, and path-based key derivation via SHA3 or BLAKE2s. The entire framework is implemented in Rust and evaluated on Cortex-M0+, M4F, and RISC-V architectures.

### Key Features:
- Symbolic entropy with ~128-bit security level (non-algebraic paths)
- Fully embedded-compatible (<9 KB RAM footprint)
- Replay-resistance through session-based graph mutation
- Constant-time execution and side-channel mitigation
- Optional support for SHA3, SHAKE, or BLAKE2s (configurable hash backends)
- Hybrid-KEM compatibility with NIST-standard schemes (e.g., Kyber)
- Strategic applicability in post-quantum, defense, and critical infrastructure settings

### Deliverables:
This release includes 45+ modular files detailing:
- Full KEM protocol structure
- Formal IND-CCA sketch (ROM)
- Symbolic security assumption (SGPU)
- Benchmark profiles & mutation overhead
- Implementation notes and test vectors
- Hardware mapping (MCU, FPGA, Smartcards)
- SHA3 bottleneck mitigation strategies
- Integration paths for TLS-like systems

EchoPulse is suitable for research, military-grade systems, cryptographic audits, and integration into secure IoT frameworks. This dossier is released under CC BY-NC-ND 4.0 and openly invites third-party verification, security review, or integration partnerships.

**Keywords:**  
Post-Quantum Cryptography, Symbolic KEM, Embedded Security, Replay Resistance, Cyber Defense, Graph-Based Cryptography, SHA3, BLAKE2s, Mutation Graph, Side-Channel Protection, AI-Resistant Encryption, Military Cryptosystems

contact= 

tom.wartenberg@web.de