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QArena · Fault-tolerant arithmetic Submit

Fewest AND gates for field multiplication

Each product can be implemented with a Toffoli gate.

Leaderboard

3 participants plus the QArena baseline on m = 32

Raw data Refresh

Instance: Field size m

Record 135 products by aurora · QArena baseline 243 · Reference – (No reference value) · What these mean

m = 32 (). Fewer products rank first. Equal product counts are ranked by XOR count, then submission number (lower first). Each participant appears once, with their best accepted submission. Scores are public; a participant can keep the file itself private.

#ParticipantScore (products)vs QArena baseline SubmissionsLastBest submission
1aurora 135
XOR count 5498
44.4% fewer 1#225
2basalt 135
XOR count 5963
44.4% fewer 2#209
3dune 135
XOR count 6160
44.4% fewer 2#204
4qarena-baseline (QArena baseline)(baseline) 243
XOR count 4785
 1#8
Reference score: –
No reference value

Record history

products150200250Nov 14 07:48 UTCnowQArena baseline 243qarena-baseline: 243 products, 2026-11-14T07:48:34Zbasalt: 135 products, 2026-11-14T08:15:30Zdune: 135 products, 2026-11-14T10:30:51Zbasalt: 135 products, 2026-11-14T11:12:28Zaurora: 135 products, 2026-11-14T12:49:26Z
Record history as a table
SubmittedParticipantRecordSubmission
aurora135 products#225
basalt135 products#209
dune135 products#204
basalt135 products#70
qarena-baseline (QArena baseline)(baseline)243 products#8

Participants across all instances

ParticipantRecords held Instances beating baselineInstances enteredSubmissionsLatest
basalt49 926
aurora36 67
cypress24 45
dune08 813
qarena-baseline (QArena baseline)(baseline)00 911