user3775: Bitcoin used Elliptic Curve Digital Signature Algorithm. (see here). I'm wondering what standard is actually used for this Algorithm: which curve? which prime? Can anybody give me a reference? (Wiki gives this, is this the standard that the ECDSA in Bitcoin?) Anywhere I can find an update on this?
Edit: A bunch of curves are given in page 87 of this. Is bitcoin using one of these?

user3775: I just found the answer from https://en.bitcoin.it/wiki/Protocol_specification#Signatures:

For ECDSA the secp256k1 curve from http://www.secg.org/collateral/sec2_final.pdf is used.

i.e. the curve is 

y^2 = x^3 - 7 

and the prime 

p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1. 

See here for more information.

3775: <p>Bitcoin used Elliptic Curve Digital Signature Algorithm. (see <a href="https://en.bitcoin.it/wiki/Technical_background_of_Bitcoin_addresses">here</a>). I'm wondering what standard is actually used for this Algorithm: which curve? which prime? Can anybody give me a reference? (Wiki gives <a href="http://csrc.nist.gov/publications/fips/fips186-3/fips_186-3.pdf">this</a>, is this the standard that the ECDSA in Bitcoin?) Anywhere I can find an update on this?</p>

<p>Edit: A bunch of curves are given in page 87 of <a href="http://csrc.nist.gov/publications/fips/fips186-3/fips_186-3.pdf">this</a>. Is bitcoin using one of these?</p>
 3775: <p>I just found the answer from <a href="https://en.bitcoin.it/wiki/Protocol_specification#Signatures" rel="nofollow">https://en.bitcoin.it/wiki/Protocol_specification#Signatures</a>:</p>

<blockquote>
  <p>For ECDSA the secp256k1 curve from <a href="http://www.secg.org/collateral/sec2_final.pdf" rel="nofollow">http://www.secg.org/collateral/sec2_final.pdf</a> is used.</p>
</blockquote>

<p>i.e. the curve is </p>

<blockquote>
  <p>y^2 = x^3 - 7 </p>
</blockquote>

<p>and the prime </p>

<blockquote>
  <p>p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1. </p>
</blockquote>

<p>See <a href="https://en.bitcoin.it/wiki/Secp256k1" rel="nofollow">here</a> for more information.</p>
