PPL 117 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.27
Prize Problem LedgerNanongkai Open €PPL 117Nanongkai · Online Matrix–Vector Multiplication conjecture

Permanent problem IDPPL 117

Verified openIndependentconjecture

Algorithms

Nanongkai · Online Matrix–Vector Multiplication conjecture

Prove or disprove the Online Matrix–Vector Multiplication conjecture: no truly subcubic algorithm solves the standard online Boolean matrix–vector product problem.

OMv conjecturedynamic algorithmsfine-grained complexity
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The problem

Prove or disprove the Online Matrix–Vector Multiplication conjecture: no truly subcubic algorithm solves the standard online Boolean matrix–vector product problem.

Date noteThe cash reward was first offered at ADFOCS 2018.
Open since2015original conjecture
Last checked2026.07.27Catalog verification
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Reward offers

Offer 01€500Danupon Nanongkai
Personal offer

The official page reserves each cash prize for the first solver. The current listing gives a 2028 expiry.

Published deadline: 2028-12-31

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Sources & reading