21 lines
779 B
Markdown
21 lines
779 B
Markdown
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# Multipoint keys {#multipoint_keys}
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`make_multipoint(alphas, betas)` packs many secret points into cuckoo
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buckets (de Castro–Polychroniadou, EUROCRYPT 2022, §4 / [ePrint 2021/580](@ref bib_vdpf)):
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`κ = 3` hashes, one point key per bucket. The bucket count is linear in
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the number of points `m`, so the keys are `Θ(m n λ)` bits. Eval probes
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three buckets.
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Pass `dpf::verifiable{}` for one batched proof token over the whole set.
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Three-evaluator packing is `make_multipoint3`.
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```cpp
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std::vector<std::uint8_t> alphas{1, 2, 3};
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std::vector<std::uint64_t> betas{4, 5, 6};
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auto [k0, k1] = dpf::make_multipoint(alphas, betas);
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```
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**Go deeper:** [multipoint.hpp](@ref dpf/multipoint.hpp),
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[dpf3_multipoint.hpp](@ref dpf/dpf3_multipoint.hpp),
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[F_MPDPF](@ref multipoint.hpp).
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