UOV

Multivariate · UOV · uovsig.org(opens in a new tab)

Programmes
On-ramp R3
Latest version
v3.0 ·
Security flags
None on current sets

Parameter sets

v3.0 · 7 Sep 2026

Parameter sets of UOV
Parameter setLevelpk (B)sig (B)pk+sig (B)SignVerify
V-pkc 5446,992275447,267114.0 µs408.9 µs
V-classic 53,232,3202753,232,595113.8 µs130.2 µs
III-pkc 3189,232209189,44139.7 µs173.6 µs
III-classic 31,347,9122091,348,12140.1 µs58.1 µs
Is-pkc 166,5769666,67217.5 µs48.3 µs
Is-classic 1412,16096412,25617.3 µs12.5 µs
Ip-pkc 146,59113546,72614.2 µs43.8 µs
Ip-classic 1321,300135321,43514.2 µs16.7 µs

Wall-clock times vary between runs and machines (CPU frequency scaling, other tenants on cloud VMs); cycle counts are the steadier basis for comparison.

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Parameter sets are matched by name.

Change from v2.0 · 5 Feb 2025 to v3.0 · 7 Sep 2026
Parameter setLevelPublic key (B) ChangeSignature (B) ChangeSecurity flag (today's assessment)
V-pkc 5446,992 to 446,992 same260 to 275 6%largerFlag cleared. Was Broken: Intersection attack (Furue & Ikematsu, ePrint 2026/298) reduces classical security to ~223 bits, below NIST Level V threshold (best known; improves on Ran's ePrint 2025/1143 ~258 bits)
V-classic 52,869,440 to 3,232,320 13%larger260 to 275 6%largerFlag cleared. Was Broken: Intersection attack (Furue & Ikematsu, ePrint 2026/298) reduces classical security to ~223 bits, below NIST Level V threshold (best known; improves on Ran's ePrint 2025/1143 ~258 bits)
III-pkc 3189,232 to 189,232 same200 to 209 5%largerFlag cleared. Was Broken: Intersection attack (Furue & Ikematsu, ePrint 2026/298) reduces classical security to ~182 bits, below NIST Level III threshold (best known; improves on Ran's ePrint 2025/1143 ~207 bits)
III-classic 31,225,440 to 1,347,912 10%larger200 to 209 5%largerFlag cleared. Was Broken: Intersection attack (Furue & Ikematsu, ePrint 2026/298) reduces classical security to ~182 bits, below NIST Level III threshold (best known; improves on Ran's ePrint 2025/1143 ~207 bits)
Is-pkc 166,576 to 66,576 same96 to 96 sameFlag cleared. Was Warning: Intersection attack (Furue & Ikematsu, ePrint 2026/298) reduces classical security to ~159 bits; above NIST Level I threshold but reduced from claimed 143 bits
Is-classic 1412,160 to 412,160 same96 to 96 sameFlag cleared. Was Warning: Intersection attack (Furue & Ikematsu, ePrint 2026/298) reduces classical security to ~159 bits; above NIST Level I threshold but reduced from claimed 143 bits
Ip-pkc 143,576 to 46,591 7%larger128 to 135 5%largerFlag cleared. Was Broken: Intersection attack (Furue & Ikematsu, ePrint 2026/298) reduces classical security to ~128 bits, below NIST Level I threshold (best known; improves on Ran's ePrint 2025/1143 ~141 bits)
Ip-classic 1278,432 to 321,300 15%larger128 to 135 5%largerFlag cleared. Was Broken: Intersection attack (Furue & Ikematsu, ePrint 2026/298) reduces classical security to ~128 bits, below NIST Level I threshold (best known; improves on Ran's ePrint 2025/1143 ~141 bits)

▼ smaller or faster, ▲ larger or slower. Sizes in bytes. Flags are today's assessment of each version's parameter sets; the history below shows when each attack was published.

History

  1. added to site Attack

    Merz and Ran (ePrint 2026/2181) extend the wedge attack with divided squares of the polar forms and Schur–Macaulay matrices, removing its parameter threshold and covering odd characteristic. The attack applies to every round-2 parameter set of UOV, MAYO, SNOVA and QR-UOV but one; four alternate round-2 MAYO sets, which the site does not list, fall below their claimed level. After their disclosure the MAYO team dropped a planned round-3 set and raised the parameters of MAYO2 (see the round-3 entry of 2026-08-31). No set shown on the site falls below its level.

  2. added to site New version

    v3.0

    UOV round-3 parameter update (pqov/pqov): grows n at Levels I and III (Ip: n 112→119, m 44→45; III: n 184→193, m unchanged) and Level V (n 244→259, m unchanged), and adds a GFNI-optimized backend. Expanded-pk and signature sizes grow accordingly (compact-pk sizes are unchanged where m stayed fixed); Is (Level I, GF(16)) parameters are untouched. Not yet reflected on uovsig.org, which still serves the Feb-2025 round-2 package. Whether this fully re-addresses the intersection attack (Furue & Ikematsu, ePrint 2026/298) at the new parameter sizes has not been independently re-analyzed, so existing broken/warning flags are carried forward unchanged pending that analysis.

  3. Milestone

    NIST announced 9 Round 3 candidates for additional post-quantum signature schemes: FAEST, HAWK, MAYO, MQOM, QR-UOV, SDitH, SNOVA, SQIsign, UOV. Rationale in NIST IR 8610. Round 3 candidates.

  4. Attack

    Updated UOV security flags based on pℓ-truncated polynomial ring intersection attack (Furue & Ikematsu, ePrint 2026/298). Improves on Ran's wedge attack for Ip (~128 bits), III (~182 bits), V (~223 bits). Is parameter sets newly flagged as warning (~159 bits, still above threshold).

  5. Attack

    Updated UOV and MAYO security flags based on wedge attack (Ran, ePrint 2025/1143). MAYO-2 ("two") marked broken (~113 bits, below 128-bit threshold). UOV Ip, III, and V parameter sets marked with warning (reduced but still above threshold). UOV Is unaffected.

  6. New version

    v2.0

  7. New version

    v1.0

Full timeline →