
Trace the eight-year NIST post-quantum cryptography standardization from open submissions to final standards, illustrating public scrutiny, mathematical diversity, and SIKE's collapse that spurred resilience.
Explore learning with errors (LWE), the core lattice-based primitive that converts hardness of short vectors into secure, noisy linear-equation problems over a finite field for encryption, key exchange, and signatures.
Explore how plain LWE security scales poorly, and how ring LWE and module LWE compress keys and maintain provable hardness, enabling Kyber and Dilithium in ML-KEM and ML-DSA standards.
Assess the three-dimensional security of ML-KEM, including algorithmic, quantitative, and operational aspects, by analyzing BKZ-based attacks, classical and quantum costs, and real-world implementation defenses and margins.
Explore post-quantum digital signatures replacing ecdsa and rsa with ml-dsa (fips-204), the nist-standard approach, across authentication, integrity, non-repudiation, and identity. See how tls 1.3, x509, code signing, and ssh adapt.
Explore the ML-DSA dilithium construction, detailing signing and verification on lattice foundations, the Fiat-Shamir with aborts transform, and rejection sampling underpinning module learning with errors and module short integer solution.
Explore ML-DSA parameter sets—ML-DSA-44, -65, and -87—and compare them with ECDSA, detailing security levels, key and signature sizes, and migration impact on TLS handshakes, JWT tokens, and X.509 certificates.
Examine how ML-DSA reshapes PKI from X.509 structures to hybrid certificates, impacting code signing, SSH, JWT, and DNSSEC, with phased migration across the PKI stack.
Discover how SPHINCS+ builds a stateless, post-quantum signature scheme from four hash-based primitives—WOTS Plus, FORS, XMSS, and the hypertree—connecting leaf keys to a single root.
Apply a structured framework to select the right post-quantum algorithm for each context, covering ML-KEM, HQC, ML-DSA, FN-DSA, and SLH-DSA for key exchange and signatures.
Benchmark PQC algorithms from the NIST standard on real hardware, comparing ML-KEM, ML-DSA, SLH-DSA, and FN-DSA across x86-64, ARM Cortex-M4, and RISC-V, focusing on cycle counts, memory footprint, and latency.
Explore the security gap between mathematical hardness and real-world post-quantum cryptography implementation, covering side-channel, fault, and memory vulnerabilities across ML-KEM, ML-DSA, and SLH-DSA with mitigations and compliant libraries.
Explore hybrid cryptography that combines X25519 and ML-KEM to provide a conjunctive security guarantee for post-quantum migration, guided by explicit NIST and IETF standards.
Navigate the NIST post-quantum standards roadmap, detailing a five-phase migration from classical to PQC with hybrid TLS, certificates, and PKI. Build visibility with a CBOM-driven, vendor-aware, regulatory-aligned plan to 2033.
Learn to read the FIPS post-quantum standards directly from primary sources, exploring FIPS 203–206, SP8, and IACR ePrint to verify conformance and deployment.
The NIST post-quantum cryptography standards are finalized. FIPS 203, FIPS 204, FIPS 205, and FIPS 206 are no longer drafts, they are the law of the land for any organization handling sensitive data. If you work in cybersecurity, cryptographic infrastructure, compliance, or software development, mastering these standards is no longer optional. This course is where that mastery begins.
Post-Quantum Cryptography: The NIST Standards Explained is the second course in the Evaluris Quantum Security Track, a rigorous, professional-grade curriculum built for security practitioners who need more than awareness.
You already know why the quantum threat is real. In this course, you learn exactly what to do about it.
You will work through each of the four finalized NIST post-quantum standards in depth:
FIPS 203 — ML-KEM (Module-Lattice-Based Key-Encapsulation Mechanism) Derived from CRYSTALS-Kyber, ML-KEM is NIST's primary recommendation for quantum-resistant key exchange. You will understand the Module Learning With Errors (MLWE) hardness problem, the NTT-accelerated polynomial arithmetic that makes ML-KEM practical, and the parameter sets (ML-KEM-512, ML-KEM-768, ML-KEM-1024) and their security/performance trade-offs. You will see how ML-KEM is already displacing ECDH in TLS 1.3 and SSH, and how to evaluate and plan for its integration in your infrastructure.
FIPS 204 — ML-DSA (Module-Lattice-Based Digital Signature Algorithm) Derived from CRYSTALS-Dilithium, ML-DSA is the primary quantum-resistant replacement for RSA and ECDSA signatures. You will learn the Fiat-Shamir-with-Aborts construction, the Module-LWE and Module-SIS security assumptions, and how to compare the three parameter sets (ML-DSA-44, ML-DSA-65, ML-DSA-87) against your signature performance and key size requirements. Certificate authorities, code signing, and document authentication workflows are all addressed.
FIPS 205 — SLH-DSA (Stateless Hash-Based Digital Signature Algorithm) Derived from SPHINCS+, SLH-DSA provides a critical backup digital signature standard built on hash function security rather than lattice hardness assumptions. You will explore the HORST and FORS few-time signature constructions, hypertree structures, and the twelve parameter sets spanning three security levels and two optimization targets (fast vs. small). Understanding when to deploy SLH-DSA over ML-DSA, and why NIST standardized both — is a skill this course delivers.
FIPS 206 — FN-DSA (FALCON / FFT NTRU-Based Digital Signature Algorithm) The fourth NIST standard brings NTRU lattice mathematics and a Fast Fourier Transform Gaussian sampler to produce compact signatures with exceptional efficiency. You will analyze FALCON-512 and FALCON-1024, understand the hardness of NTRU problems, and evaluate FN-DSA's role in constrained environments — IoT, embedded systems, and high-throughput authentication pipelines — where ML-DSA's larger signatures are a liability.
Understanding algorithms is only half the work.
This course dedicates substantial coverage to what security professionals actually need on the job:
- Hybrid Cryptography: How to run classical and post-quantum algorithms in parallel during the migration period, protecting against both classical and quantum adversaries simultaneously. Hybrid TLS, hybrid certificates, and hybrid key exchange patterns are all covered in detail.
- Cryptographic Agility: Designing systems that can swap cryptographic primitives without architectural rework, the organizational capability that separates organizations that will migrate smoothly from those that will scramble.
- PKI Migration: Step-by-step analysis of how public key infrastructure must evolve, certificate formats, CA hierarchies, chain validation, and the PKIX standards work already underway to support PQC algorithms.
- TLS and Protocol Migration: How ML-KEM is integrated into TLS 1.3 via the hybrid key exchange groups defined in IETF standards, and what that means for your firewall, IDS/IPS, and deep packet inspection infrastructure.
- Regulatory Compliance: NSA CNSA 2.0 timelines, CISA PQC advisories, OMB M-23-02 (U.S. federal migration mandate), and NIST SP 800-131A transition guidance, mapped to practical compliance milestones for enterprise and government environments.
This course is built for working professionals, not academic researchers. Every module connects mathematical foundations directly to implementation decisions, compliance requirements, and migration planning. You will find:
- Mathematically precise explanations, no hand-waving, but no unnecessary abstraction
- Annotated walkthroughs of the actual FIPS standard documents
- Algorithm comparison tables for parameter selection decisions
- Migration planning frameworks you can apply immediately
- Compliance checklists aligned to CNSA 2.0 and federal directives
This is Course 2 of the Evaluris Quantum Security Track. While prior completion of Course 1 (Quantum Computing & Cybersecurity: What Every Security Professional Must Know) is the ideal preparation, any security professional with solid classical cryptography knowledge — RSA, ECC, TLS, PKI can succeed in this course.
This course is designed for security architects, PKI administrators, CISOs, compliance officers, cryptographic engineers, and senior developers who are responsible for the systems that quantum computing will break, and for building the systems that will replace them. If your organization needs to comply with CNSA 2.0, respond to a PQC readiness audit, or begin migrating cryptographic infrastructure, this course gives you the technical foundation to lead that effort.
The cryptographic infrastructure the world depends on is being replaced. The NIST standards are published. The regulatory timelines are set. The only variable is whether you are ready to lead the transition, or scrambling to keep up with it.
Enroll now and build the post-quantum cryptography expertise your organization needs.