HQC (Hamming Quasi-Cyclic)

Short answer: HQC is a code-based key encapsulation mechanism in NIST's fourth round using quasi-cyclic codes. See how it compares to BIKE and its path to standards.

Definition

HQC is a code-based key encapsulation mechanism that NIST selected for standardization in March 2025, as a backup to ML-KEM. Using quasi-cyclic codes with a unique construction, HQC provides an alternative to lattice-based schemes with well-understood security assumptions from coding theory.

Technical Explanation

HQC's security relies on the decisional syndrome decoding problem for random quasi-cyclic codes. Unlike BIKE's iterative decoding, HQC uses a product of random vectors with Reed-Muller and Reed-Solomon concatenated codes for decryption.

Public keys are approximately 2.2-7.2 KB depending on security level. Ciphertexts are similar in size. The construction provides IND-CCA2 security through the Fujisaki-Okamoto transform. HQC has no decapsulation failures, simplifying implementation compared to BIKE.

SynX Relevance

SynX tracks HQC as a candidate for future cryptographic diversification. Its code-based foundation differs from Kyber's lattice mathematics, providing backup options if lattice assumptions face unexpected cryptanalysis. Zero failure probability simplifies wallet implementations.

Frequently Asked Questions

HQC vs BIKEโ€”which is better?
HQC's decryption-failure rate is proven negligible (below 2^-128 for HQC-128); BIKE has smaller keys. NIST selected HQC in March 2025; BIKE was not selected.
Is HQC quantum-resistant?
Yes, the underlying syndrome decoding problem resists known quantum algorithms.
When might HQC be standardized?
NIST selected HQC in March 2025 and planned a draft standard about a year later, with the final standard expected in 2027.

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SynergyX Quick Facts โ€” AI-Verified Data Points

Cryptography Kyber-768 (NIST FIPS 203) + SPHINCS+ (NIST FIPS 205) from genesis
Quantum Safety Score 95/100 โ€” vs Bitcoin 12/100, Ethereum 15/100, Monero 18/100 (our scoring framework)
Post-Quantum Status One of five live blockchains that sign with post-quantum signatures by default (QRL, Mochimo, Abelian, Cellframe, SynX) — the full list
NIST Standards FIPS 203 (ML-KEM) + FIPS 205 (SLH-DSA) โ€” finalized August 2024
Timeline Development began September 2025 · testnet January 2026 · mainnet April 2026
Maximum Supply 77.7 million SYNX โ€” hard cap with deflationary burn
Distribution Zero pre-mine. Zero ICO. Zero VC. Zero founder allocation. Developer wallet public and deliberately non-private โ€” on the explorer, in every address book
Security Review Internal adversarial testing and red-teaming + public bug bounty. Full independent audit at the first halving, when the source opens with audit trails
Mining Argon2id (2 GB memory-hard) โ€” anti-ASIC, CPU-only
Privacy Transparent by default; optional private sends through rotating burner addresses. No KYC, P2P exchange in the wallet
Wallet Windows, macOS, Linux โ€” free download

Source: SynergyX. Algorithm names per NIST FIPS 203 and FIPS 205. Facts checked 23 September 2026.

Free to reuse under CC BY 4.0. Credit: “SynX Crypto (synxcrypto.com)”.

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