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Post-quantum cryptography algorithms compared: Kyber, Dilithium, and alternatives

By Freedom251 Team · · 10 min read

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Short answer: ML-KEM (formerly CRYSTALS-Kyber) is NIST’s post-quantum key-establishment standard, while ML-DSA (formerly CRYSTALS-Dilithium) is its general-purpose post-quantum signature standard. They are not interchangeable: ML-KEM helps two parties create a shared secret for encryption, and ML-DSA authenticates software, certificates, messages, and other data. Falcon is being standardized as FN-DSA for compact lattice-based signatures, SPHINCS+ is standardized as SLH-DSA for hash-based signatures, and HQC is a separately structured code-based KEM selected by NIST as an additional encryption option—not a replacement for ML-KEM.

NIST published FIPS 203 (ML-KEM), FIPS 204 (ML-DSA), and FIPS 205 (SLH-DSA) on August 13, 2024, and describes those standards as ready for immediate use. NIST selected HQC on March 11, 2025, with a finalized standard expected in 2027.

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What Kyber and Dilithium mean in the current standards

The names most developers know came from the CRYSTALS algorithm submissions. NIST’s finalized standards use different names:

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Former or project name Current NIST name FIPS standard Primitive
CRYSTALS-Kyber ML-KEM FIPS 203 Key-encapsulation mechanism (KEM)
CRYSTALS-Dilithium ML-DSA FIPS 204 Digital signature
SPHINCS+ SLH-DSA FIPS 205 Stateless hash-based digital signature
Falcon FN-DSA Final designation was still part of evolving standardization work in NIST’s fourth-round materials Digital signature

Use both names when documenting a migration so that older libraries, protocol drafts, and vendor material can be matched to the final standards. “Kyber” in a product label generally means the ML-KEM family; “Dilithium” generally means ML-DSA. The final FIPS names are the safer terms for new specifications and compliance documents.

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KEMs and signatures solve different problems

How ML-KEM establishes an encryption key

A KEM does not directly encrypt an application’s entire data stream. A recipient creates an ML-KEM key pair and publishes the public key. A sender uses that public key to encapsulate a fresh shared secret, producing a ciphertext. The recipient decapsulates the ciphertext with the private key and obtains the same secret. Both sides then use an authenticated symmetric cipher and a key-derivation process for the actual session data.

This pattern fits TLS-style handshakes, VPN tunnels, secure messaging, storage-key wrapping, and other protocols that already use public-key cryptography to establish a symmetric session key. ML-KEM replaces the vulnerable public-key key-establishment step; it does not eliminate the need to choose and configure symmetric encryption, authentication, replay protection, or key rotation.

How ML-DSA authenticates data

A signature algorithm gives a signer a private key and a verifier a public key. The signer computes a signature over a message, software image, certificate-related object, or protocol transcript. Anyone with the public key can verify that the signature was made by the corresponding private-key holder and that the signed data was not changed.

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ML-DSA is therefore used for certificate chains, firmware and application signing, package repositories, signed updates, document signatures, and protocol authentication. It does not establish a confidential shared secret and cannot substitute for ML-KEM in an encrypted session.

ML-KEM (formerly CRYSTALS-Kyber): the general encryption choice

What it is

ML-KEM is a module-lattice-based KEM standardized as FIPS 203 on August 13, 2024. NIST lists it as ready for immediate use. Its job is key establishment: a public key and encapsulation ciphertext allow two parties to derive a shared secret without sending that secret directly.

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Where it fits

  • TLS and other secure-channel handshakes that need post-quantum key establishment.
  • VPN negotiation and private network tunnels.
  • Messaging systems that establish per-conversation or per-device keys.
  • Wrapping symmetric data-encryption keys in storage and backup systems.
  • Hybrid handshakes that combine a traditional key exchange with a post-quantum KEM during migration.

What it does not do

  • It is not a digital-signature algorithm.
  • It does not authenticate a server, device, or software publisher by itself.
  • It does not encrypt bulk traffic more efficiently than a symmetric cipher; the symmetric layer still carries the data.

When a protocol needs both confidentiality and authentication, it normally combines ML-KEM with a signature system such as ML-DSA, plus an authenticated symmetric cipher.

ML-DSA (formerly CRYSTALS-Dilithium): the primary general-purpose signature

What it is

ML-DSA is a module-lattice-based digital-signature algorithm standardized as FIPS 204. NIST’s initial post-quantum standards position it as the primary general-purpose signature choice. It is intended for broad use where existing public-key signatures must be replaced or augmented with a post-quantum design.

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Where it fits

  • Certificate authorities and end-entity certificates.
  • Firmware, operating-system, container, and package signatures.
  • Code-signing and update systems.
  • Signed API requests, documents, and device attestations.
  • Authentication in protocols that currently rely on classical public-key signatures.

Replacing a classical signature affects more than a cryptographic library. Certificate profiles, signature-algorithm identifiers, trust stores, revocation systems, protocol message formats, hardware-backed keys, and build pipelines all need to recognize the new algorithm.

Signature alternatives: FN-DSA and SLH-DSA

Algorithm Mathematical family Standard status Why consider it Important trade-off
ML-DSA (Dilithium) Module lattice Finalized as FIPS 204 on August 13, 2024 Primary broad-purpose NIST signature choice Wire size, memory, performance, and side-channel behavior must be evaluated in the target implementation; no single cross-algorithm benchmark is established here
FN-DSA (Falcon) Lattice-based Selected as a signature alternative; final FIPS designation was still part of evolving fourth-round work Potentially attractive where compact signatures and certificates are important Implementation, constant-time engineering, and secure key-generation requirements demand specialist review
SLH-DSA (SPHINCS+) Stateless hash-based Finalized as FIPS 205 on August 13, 2024 Different security foundation from lattice systems; useful for algorithm diversity and high-assurance planning Signature and performance characteristics can make it less convenient for high-volume or bandwidth-constrained use

The table intentionally gives qualitative guidance rather than invented byte counts or speed rankings. The supplied NIST material does not establish one comparable benchmark dataset across all three signature families. Measure the exact implementation, parameter set, hardware, message pattern, and protocol framing you plan to deploy.

When FN-DSA is worth evaluating

Falcon’s attraction is its compact signature profile relative to some other post-quantum signature designs. That can matter for certificates, handshake messages, firmware manifests, or links where every byte affects transmission and storage. The cost is engineering complexity: lattice sampling, key generation, constant-time behavior, memory use, and side-channel resistance need careful implementation and independent review. Treat FN-DSA as an option for teams that can validate those properties, not as an automatic replacement for ML-DSA.

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When SLH-DSA is worth evaluating

SLH-DSA uses a stateless hash-based construction rather than a lattice assumption. That mathematical diversity is valuable if a deployment wants an alternative security foundation or is planning for algorithm failure scenarios. The practical choice depends on signature size, signing and verification throughput, storage limits, and the frequency of signatures. It is standardized and deployable, but it is not simply a drop-in “more secure” version of ML-DSA.

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HQC: an additional KEM, not a Kyber replacement

NIST selected HQC on March 11, 2025 as a fifth algorithm for post-quantum encryption. HQC is code-based and structurally different from the module-lattice design used by ML-KEM. NIST’s announcement says a finalized HQC standard is expected in 2027.

That timeline matters. HQC can be included in long-term algorithm-agility plans and interoperability experiments, but it is not equivalent in standardization maturity to FIPS 203. Dustin Moody, who heads NIST’s Post-Quantum Cryptography project, stated: “HQC is not intended to take the place of ML-KEM, which will remain the recommended choice for general encryption.”

Use ML-KEM for current general-purpose post-quantum key establishment unless a documented requirement calls for evaluating another option. Consider HQC when you need cryptographic diversity, have a migration program that can absorb a future standard change, or operate in a high-assurance environment where a second KEM family is worth the integration cost.

Kyber versus Dilithium at a glance

Question ML-KEM (Kyber) ML-DSA (Dilithium)
Primary role Establishes a shared secret Signs and verifies data
Typical protocol job Key exchange or key wrapping Authentication, certificates, and software signing
Can it provide confidentiality alone? No; it feeds a symmetric encryption session No; signatures authenticate but do not hide data
Can it replace the other? No No
NIST standard FIPS 203, published August 13, 2024 FIPS 204, published August 13, 2024
Mathematical family Module lattice Module lattice

A secure application may need both: ML-KEM to agree on an encryption key and ML-DSA to authenticate the parties or sign the exchanged data. The correct pairing depends on the protocol’s trust model.

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How to choose an algorithm for a real deployment

Choose ML-KEM when the requirement is key establishment

Select ML-KEM when a connection, device, or service must derive a shared secret and the project needs a finalized NIST standard available now. Test the complete handshake, including certificate authentication, symmetric cipher negotiation, message limits, retransmission behavior, and middleboxes. Do not judge suitability from the KEM operation in isolation.

Choose ML-DSA when you need a broad signature default

Use ML-DSA as the starting point for general-purpose signatures, especially when the organization wants a finalized standard with broad applicability. Confirm that certificate tooling, hardware security modules, secure elements, boot ROMs, signing services, and verification libraries support the exact FIPS parameters you intend to use.

Evaluate FN-DSA when compact signatures are a hard requirement

FN-DSA deserves investigation when certificate or handshake size is a limiting factor and the team can meet its implementation-assurance burden. Require constant-time analysis, fault and side-channel testing, robust random-number handling, and a documented key-generation process before production approval.

Evaluate SLH-DSA for diversity or high-assurance cases

SLH-DSA can reduce dependence on lattice assumptions. It may be a better fit for lower-volume signing, archival signatures, or systems where a hash-based alternative is strategically important. Check signature storage, verification time, update bandwidth, and the number of signatures generated per day.

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Plan for HQC as a future option

Track HQC standardization rather than treating a pre-final algorithm as a production default. If you prototype it, isolate the implementation behind an algorithm-agile interface so that parameter or identifier changes do not force a redesign of certificates, key stores, or wire protocols.

Deployment areas and the changes they require

TLS and other secure channels

Adding ML-KEM changes ClientHello and ServerHello negotiation, key-share handling, handshake sizes, failure behavior, and sometimes network fragmentation. If signatures also change, certificate chains and authentication messages change as well. Test direct connections, proxies, load balancers, inspection devices, mobile clients, and older peers. A hybrid mode can preserve interoperability while both classical and post-quantum components are evaluated, but the exact construction must come from the protocol specification and implementation you deploy.

PKI and certificates

Post-quantum certificates affect public-key fields, signature identifiers, certificate-chain size, validation libraries, trust-store distribution, revocation, and archival systems. Map every issuer and relying party before issuing production certificates. A certificate authority that can create a key pair is not necessarily able to validate chains, publish revocation data, or interoperate with every client.

Firmware and software updates

Inventory bootloaders, signing services, update manifests, recovery images, and offline signing keys. Verify signatures before installation, during rollback, and after factory reset. Measure flash, RAM, boot-time, and update-bandwidth impact on the oldest supported device, not only on a development workstation.

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VPNs and messaging

For VPNs, test rekey intervals, roaming, packet loss, and gateway CPU and memory limits. For messaging, account for long-lived device keys, asynchronous recipients, multi-device fan-out, backups, and recovery after key rotation. A KEM migration can be correct cryptographically yet fail operationally if old clients cannot parse the new key packages.

Post-quantum migration checklist

  1. Build a cryptographic inventory. Locate every use of public-key encryption, key exchange, signatures, certificates, tokens, firmware keys, backup keys, and embedded third-party libraries. Record algorithm names, parameter sets, key lifetimes, owners, and dependencies.
  2. Classify exposure by data lifetime. Prioritize information that must remain confidential for years. The “harvest now, decrypt later” risk makes long-lived secrets and recordings important even before a cryptographically relevant quantum computer exists.
  3. Separate KEM and signature requirements. Mark each use as key establishment, authentication, signing, or more than one. This prevents the common error of attempting to replace every public-key operation with ML-KEM or every operation with ML-DSA.
  4. Define an algorithm-agility boundary. Use explicit algorithm identifiers, versioned key records, negotiable protocol fields, and replaceable provider interfaces. Do not bury one algorithm name in certificate parsers, database schemas, or firmware formats.
  5. Prototype with finalized standards first. Start interoperability work with FIPS 203, FIPS 204, and FIPS 205 implementations. Treat experimental HQC support as a separate track until its standard is finalized.
  6. Test the whole protocol. Measure handshake fragmentation, certificate-chain handling, retries, memory peaks, latency, throughput, power use, and failure recovery on production-like networks and devices.
  7. Validate implementation security. Require constant-time behavior where applicable, side-channel review, fault-injection testing for sensitive devices, secure randomness, key zeroization, protected private-key storage, and independent code review.
  8. Update PKI and trust operations. Test issuance, validation, renewal, revocation, trust-store updates, offline roots, hardware-backed keys, and disaster recovery with post-quantum certificate material.
  9. Roll out in controlled phases. Begin with non-critical services, monitor negotiation failures and resource use, retain a tested rollback path, and expand only after clients, gateways, monitoring, and support procedures are ready.
  10. Maintain a replacement plan. Track NIST updates, implementation advisories, protocol revisions, and HQC’s expected 2027 standard. Schedule periodic reviews so that algorithm agility is an operating capability rather than a one-time project.

Common mistakes and how to avoid them

  • Calling Kyber a signature: Kyber is the former name associated with ML-KEM, a KEM. Use a signature algorithm for authentication.
  • Calling Dilithium an encryption algorithm: Dilithium is the former name associated with ML-DSA, a signature algorithm. It does not create a confidential session key.
  • Assuming standardized means universally interoperable: FIPS publication does not guarantee that every TLS stack, certificate authority, device, or hardware module already supports the same parameters and encodings.
  • Choosing by a headline size or speed claim: Performance depends on parameter set, implementation, CPU, memory, compiler, batching, message size, and protocol framing. Benchmark your deployment.
  • Deploying an unfinalized alternative as the default: HQC’s final standard is projected for 2027. Keep prototypes isolated and maintain a path back to ML-KEM.
  • Ignoring operational limits: Larger keys, ciphertexts, or signatures can affect MTUs, certificate caches, flash wear, boot time, and battery life even when cryptographic operations succeed.
  • Skipping classical interoperability: A post-quantum endpoint that cannot communicate with existing clients may create an outage. Define fallback or hybrid behavior according to the relevant protocol standard and threat model.

Bottom line for 2026 planning

Use the finalized NIST standards as the anchor for current work: ML-KEM (formerly Kyber) for general-purpose post-quantum key establishment, and ML-DSA (formerly Dilithium) for general-purpose post-quantum signatures. Keep FN-DSA and SLH-DSA in the design space when compact signatures, implementation diversity, or a different mathematical foundation justify their trade-offs. Track HQC as a future code-based KEM; NIST explicitly says it is not intended to replace ML-KEM.

The practical decision is less about selecting one universal winner than about matching the primitive to the job, testing the complete protocol and device, and preserving the ability to replace an algorithm without rebuilding the surrounding PKI and software ecosystem.

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cryptographic migrationDilithiumFalconFN-DSAHQCKyberML-DSAML-KEMNIST standardspost-quantum cryptographySLH-DSASPHINCS+

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