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<blockquote type="cite">jrzx <jrzx@protonmail.ch> şunları yazdı (4 Ağu 2021 15:29):<br>
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<div>> <span style="color: rgb(0, 0, 0);"><span class="font" style="font-family:Calibri, Helvetica, sans-serif"><span style="background-color: rgb(255, 255, 255);"><span style=""><span class="size" style="font-size:12pt">Is there a cryptographically secure
way in threshold cryptography where at</span></span></span></span></span><br>
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<div><span style="color: rgb(0, 0, 0);"><span class="font" style="font-family:Calibri, Helvetica, sans-serif"><span style="background-color: rgb(255, 255, 255);"><span style=""><span class="size" style="font-size:12pt">> least
</span></span><b style="font-size: 12pt;">n</b><span style=""><span class="size" style="font-size:12pt"> of my children can get together and create the signed message
<b>M</b></span></span></span></span></span><br>
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<div><span style="color: rgb(0, 0, 0);"><span class="font" style="font-family:Calibri, Helvetica, sans-serif"><span style="background-color: rgb(255, 255, 255);"><span style=""><span class="size" style="font-size:12pt">> without directly accessing the private
key <b style="background-color:rgb(255, 255, 255);font-size:12pt">A<sub>pr</sub> </b><span style="background-color: rgb(255, 255, 255);"><span class="size" style="font-size:12pt">?</span></span></span></span></span></span></span><br>
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<div><span style="color: rgb(0, 0, 0);"><span class="font" style="font-family:Calibri, Helvetica, sans-serif"><span style="background-color: rgb(255, 255, 255);"><span style=""><span class="size" style="font-size:12pt"><span style="background-color: rgb(255, 255, 255);"><span class="size" style="font-size:12pt">Yes.
Schnorr signatures.</span></span></span></span></span></span></span><br>
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<div><span style="color: rgb(0, 0, 0);"><span class="font" style="font-family:Calibri, Helvetica, sans-serif"><span style="background-color: rgb(255, 255, 255);"><span style=""><span class="size" style="font-size:12pt"><span style="background-color: rgb(255, 255, 255);"><span class="size" style="font-size:12pt">The
sharers get together to generate the signature in the same way they could have generated the shared secret.</span></span></span></span></span></span></span><br>
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<div><span style="color: rgb(0, 0, 0);"><span class="font" style="font-family:Calibri, Helvetica, sans-serif"><span style="background-color: rgb(255, 255, 255);"><span style=""><span class="size" style="font-size:12pt"><span style="background-color: rgb(255, 255, 255);"><span class="size" style="font-size:12pt">The
signature verifies the same way a regular Schnorr signature verifies. The verifier does not know it is anything different from and ordinary Schnorr singlesig</span></span></span></span></span></span></span><br>
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<div><span style="color: rgb(0, 0, 0);"><span class="font" style="font-family:Calibri, Helvetica, sans-serif"><span style="background-color: rgb(255, 255, 255);"><span style=""><span class="size" style="font-size:12pt"><span style="background-color: rgb(255, 255, 255);"><span class="size" style="font-size:12pt">Constructing
it, however is considerably more painful. O((logN)^3)</span></span></span></span></span></span></span><br>
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<div>Are schnorr signatures part of threshold cryptography? I thought schnorr signatures has a predefined amount of keys and all of them have to be present to construct the final signature.</div>
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