Added: incubator/milagro/site/www/docs/d-ta-api/index.html
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--- incubator/milagro/site/www/docs/d-ta-api/index.html (added)
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@@ -0,0 +1,79 @@
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Milagro</title><meta name="viewport" content="width=device-width"/><meta 
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2s-2.27-.86-2.5-2z"/></svg></div>  WE NEED HELP DOCUMENTING!</h5>
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Added: incubator/milagro/site/www/docs/d-ta-overview.html
URL: 
http://svn.apache.org/viewvc/incubator/milagro/site/www/docs/d-ta-overview.html?rev=1860997&view=auto
==============================================================================
--- incubator/milagro/site/www/docs/d-ta-overview.html (added)
+++ incubator/milagro/site/www/docs/d-ta-overview.html Tue Jun 11 00:28:48 2019
@@ -0,0 +1,79 @@
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http-equiv="X-UA-Compatible" content="IE=edge"/><title>Decentralized Trust 
Authority Overview · Apache Milagro</title><meta name="viewport" 
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2s-2.27-.86-2.5-2z"/></svg></div>  WE NEED HELP DOCUMENTING!</h5>
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+<!DOCTYPE html><html lang="en"><head><meta charSet="utf-8"/><meta 
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Added: incubator/milagro/site/www/docs/doc2/index.html
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--- incubator/milagro/site/www/docs/doc2/index.html (added)
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URL: 
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class="wrapper"><div class="post"><header class="postHeader"><h1 
class="postHeaderTitle">Milagro Crypto</h1></header><article><div><span><p>One 
of the critical points about information security is to give access to 
resources only to authorized entities and deny access to unauthorized ones.
+Preventing unauthorized access very often comes down to making it 
<strong><em>almost impossible</em></strong>, i.e., tough, expensive, 
complicated, and time-consuming for the unauthorized entities to get access to 
resources.</p>
+<p>The same principles apply to cryptography. In most cases, a suitable 
encryption mechanism satisfies at least two basic requirements:</p>
+<ol>
+<li>It is possible to give easy access to encrypted, cryptographically 
protected content to authorized entities.</li>
+<li>It is possible to make it extremely challenging for unauthorized entities 
to access encrypted (ditto) content.</li>
+</ol>
+<p>Using the above, we can define an operation: Encryption that is tough to 
reverse without possessing a particular parameter, for example, a decryption 
key.
+In RSA-based encryption two prime numbers, the private key, are multiplied to 
generate a public key, so that it is almost impossible to reverse the operation 
and retrieve the original prime numbers.</p>
+<p>Multiple sources are available online to read more on the topic. We 
recommend this short paper from <a 
href="https://math.berkeley.edu/~kpmann/encryption.pdf";>Cal Berkeley at this 
link</a>.</p>
+<p>As noted in the mentioned paper, with RSA, we need enormous prime numbers 
to make it <strong><em>almost impossible</em></strong> to break the encryption, 
hence to find the two big prime numbers.
+On elliptic curves, multiplication of a point by a number can be defined so 
that much shorter numbers than in the big prime number case are needed to reach 
the same level of <strong><em>almost impossibility</em></strong>.</p>
+<h2><a class="anchor" aria-hidden="true" 
id="elliptic-curve-cryptography"></a><a href="#elliptic-curve-cryptography" 
aria-hidden="true" class="hash-link"><svg class="hash-link-icon" 
aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" 
width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 
3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 
5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 
2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 
1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 
6z"></path></svg></a>Elliptic Curve Cryptography</h2>
+<p>Elliptic curves are another way to do encryption. Elliptic curves are 
mathematical structures, on which operations like addition and multiplications 
of points are easily defined.
+In particular, multiplication of a point by a number is a relatively easy 
operation to compute, while it is <strong><em>almost impossible</em></strong> 
to reverse the process, that is, to determine
+the multiplier knowing the result of the multiplication.</p>
+<p>The problem of reversing the multiplication is known as the Discrete 
Logarithm Problem on elliptic curves (ECDLP).
+The difference in computational complexity (between performing the 
multiplication and reversing the result to retrieve the multiplier) is one of 
the essential cornerstones of elliptic curve cryptography.</p>
+<h2><a class="anchor" aria-hidden="true" 
id="pairing-based-cryptography"></a><a href="#pairing-based-cryptography" 
aria-hidden="true" class="hash-link"><svg class="hash-link-icon" 
aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" 
width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 
3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 
5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 
2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 
1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 
6z"></path></svg></a>Pairing Based Cryptography</h2>
+<p>Using elliptic curves we can now define on some elliptic curve a bilinear 
function called a <strong><em>pairing</em></strong>, which enables a mapping 
from two points on the same curve (or points on two related curves) into a 
different mathematical structure called a finite field. The bilinearity of the 
pairing is the key characteristic that makes pairing interesting and widely 
used in cryptography.</p>
+<p>A <strong><em>bilinear pairing</em></strong> \( e \) maps a pair of points 
(hence the name pairing) on an elliptic curve \( E \), defined over some field 
\( F_{q} \) to an element of the multiplicative group of a finite extension of 
\( {F}_{q^k} \).</p>
+<p>$$ e(mA+B, nP + Q) = e(A,P)^{mn} e(B, Q) $$</p>
+<p>The elements \( P \) and \( Q \) lie in two different groups, respectively 
\( G_{1} \) and \( G_{2} \). The choice of those two different group determines 
a different <strong><em>types</em></strong> of pairing.</p>
+<p>Let \( E \) an ordinary elliptic curve, take \( G_{1} \neq G_{2} \), and if 
there is not an efficiently computable isomorphism \( \phi:G_{1}\to G_{2} \) 
then the pairing is said to be of <strong><em>Type\( -3 \)</em></strong>.</p>
+<p>Currently, most of the state-of-the-art implementations of pairings take 
place on ordinary curves that assume the <strong><em>Type\( -3 \)</em></strong> 
scenario for reasons of efficiency and secure implementation.</p>
+<h2><a class="anchor" aria-hidden="true" id="identity-based-encryption"></a><a 
href="#identity-based-encryption" aria-hidden="true" class="hash-link"><svg 
class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 
0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 
0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 
3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 
9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 
0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 
3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>Identity Based Encryption</h2>
+<p>Pairing-based cryptography builds on elliptic curve-based cryptography, but 
the extra functionality of the pairing enables us to design schemes which would 
otherwise be impossible to realize, or would be prohibitively expensive to do 
using RSA-based cryptosystems.</p>
+<p>Identity-based encryption (IBE) is one such scheme that has received a 
large of amount of attention from the crypto community, and where commercially 
available products have been on the market for some time and are in wide use 
today.</p>
+<p>IBE is similar to classical asymmetric key cryptography, in that each user 
has a public key for encryption and a private key for decryption. But there are 
many differences:</p>
+<ol>
+<li>IBE allows public keys to be set to the value of a pre-existing 
identifier, such as an email address, while in PKI the public key does not 
contain the notion of an identity, and the association with an identifier is 
created by a certificate signed by a third party (Certification Authority).</li>
+<li>Clients or individual users do not generate private keys, but must instead 
download them from a trusted third party known as the Trust Authority (TA).</li>
+<li>In IBE, to encrypt messages, the sender must obtain public “system 
parameters” from the Trust Authority (TA). These system parameters are used 
in combination with the intended recipient’s identity string (e.g. email 
address) to generate an encrypted message.</li>
+</ol>
+<h2><a class="anchor" aria-hidden="true" id="post-quantum-cryptography"></a><a 
href="#post-quantum-cryptography" aria-hidden="true" class="hash-link"><svg 
class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 
0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 
0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 
3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 
9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 
0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 
3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>Post-Quantum Cryptography</h2>
+<p>&quot;Post-quantum cryptography (sometimes referred to as quantum-proof, 
quantum-safe or quantum-resistant) refers to cryptographic algorithms (usually 
public-key algorithms) that are thought to be secure against an attack by a 
quantum computer. As of 2018, this is not true for the most popular public-key 
algorithms, which can be efficiently broken by a sufficiently strong 
hypothetical quantum computer.</p>
+<p>The problem with currently popular algorithms is that their security relies 
on one of three hard mathematical problems: the integer factorization problem, 
the discrete logarithm problem or the elliptic-curve discrete logarithm 
problem. All of these problems can be easily solved on a sufficiently powerful 
quantum computer running Shor's algorithm.</p>
+<p>Even though current, publicly known, experimental quantum computers lack 
processing power to break any real cryptographic algorithm, many cryptographers 
are designing new algorithms to prepare for a time when quantum computing 
becomes a threat.&quot;<sup class="footnote-ref"><a href="#fn1" 
id="fnref1">[1]</a></sup></p>
+<h2><a class="anchor" aria-hidden="true" id="zero-knowledge-proof"></a><a 
href="#zero-knowledge-proof" aria-hidden="true" class="hash-link"><svg 
class="hash-link-icon" aria-hidden="true" height="16" version="1.1" viewBox="0 
0 16 16" width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 
0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 
3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 
9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 
0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 
3-1.69 3-3.5S14.5 6 13 6z"></path></svg></a>Zero Knowledge Proof</h2>
+<p>&quot;In cryptography, a <strong>zero-knowledge proof</strong> or 
<strong>zero-knowledge protocol</strong> is a method by which one party (the 
<em>prover</em>) can prove to another party (the <em>verifier</em>) that a 
given statement is true, without conveying any information apart from the fact 
that the statement is indeed true.</p>
+<p>If proving the statement requires knowledge of some secret information on 
the part of the prover, the definition implies that the verifier will not be 
able to prove the statement in turn to anyone else, since the verifier does not 
possess the secret information.</p>
+<p>Notice that the statement being proved must include the assertion that the 
prover has such knowledge (otherwise, the statement would not be proved in 
zero-knowledge, since at the end of the protocol the verifier would gain the 
additional information that the prover has knowledge of the required secret 
information).</p>
+<p>If the statement consists <em>only</em> of the fact that the prover 
possesses the secret information, it is a special case known as 
<em>zero-knowledge proof of knowledge</em>, and it nicely illustrates the 
essence of the notion of zero-knowledge proofs: proving that one has knowledge 
of certain information is trivial if one is allowed to simply reveal that 
information; the challenge is proving that one has such knowledge without 
revealing the secret information or anything else.&quot;<sup 
class="footnote-ref"><a href="#fn2" id="fnref2">[2]</a></sup></p>
+<h2><a class="anchor" aria-hidden="true" id="summary"></a><a href="#summary" 
aria-hidden="true" class="hash-link"><svg class="hash-link-icon" 
aria-hidden="true" height="16" version="1.1" viewBox="0 0 16 16" 
width="16"><path fill-rule="evenodd" d="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 
3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 
5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 
2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 
1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 
6z"></path></svg></a>Summary</h2>
+<p><strong>Elliptic curve cryptography</strong> is an attractive alternative 
to conventional public key cryptography for implementation on constrained 
devices, where the significant computational resources i.e. speed, memory are 
limited and low-power wireless communication protocols is essential. It attains 
the same security levels as traditional cryptosystems using smaller parameter 
sizes.</p>
+<p><strong>Pairing-based cryptography</strong> builds on elliptic curve-based 
cryptography, but the extra functionality of the pairing enables us to design 
schemes which would otherwise be impossible to realize, or would be 
prohibitively expensive. Examples include identity-based encryption, group 
signatures and non-interactive zero-knowledge proofs.</p>
+<p><strong>Identity-based encryption</strong> doesn’t require certificates 
and certificate authorities. A trusted third party generates all the private 
keys, but all the public keys can be derived knowing the identity of the public 
key owner, for example, an email address.  That means that no certificate is 
needed to bind a public key to its owner.  Typically, it is up to the 
application to verify the owner possesses access to the unique identity 
attribute during the enrollment process in which a client obtains a private 
key.</p>
+<p><strong>Post-quantum cryptography</strong> Post-quantum cryptography are 
cryptosystems which can be run on a classical computer, but are secure even if 
an adversary possesses a quantum computer. For data that must be private, but 
has the potential to be long lived and publicly available, using post-quantum 
secure algorithms like AES 256-bit for encryption and SIKE for encapsulation of 
encryption keys is essential.</p>
+<p><strong>Zero-knowledge proof</strong> is a method by which one party (the 
prover) can prove to another party (the verifier) that a given statement is 
true, without conveying any information apart from the fact that the statement 
is indeed true.</p>
+<p>For an in-depth dive into the cryptographic protocols in use within the 
Milagro framework, see the next section <a 
href="milagro-protocols.html">Milagro Protocols</a>.</p>
+<hr>
+
+    <div class="admonition admonition-note">
+      <div class="admonition-heading">
+        <h5><div class="admonition-icon"><svg 
xmlns="http://www.w3.org/2000/svg"; width="14" height="16" viewBox="0 0 14 
16"><path fill-rule="evenodd" d="M6.3 5.69a.942.942 0 0 
1-.28-.7c0-.28.09-.52.28-.7.19-.18.42-.28.7-.28.28 0 
.52.09.7.28.18.19.28.42.28.7 0 .28-.09.52-.28.7a1 1 0 0 1-.7.3c-.28 
0-.52-.11-.7-.3zM8 
7.99c-.02-.25-.11-.48-.31-.69-.2-.19-.42-.3-.69-.31H6c-.27.02-.48.13-.69.31-.2.2-.3.44-.31.69h1v3c.02.27.11.5.31.69.2.2.42.31.69.31h1c.27
 0 .48-.11.69-.31.2-.19.3-.42.31-.69H8V7.98v.01zM7 2.3c-3.14 0-5.7 2.54-5.7 
5.68 0 3.14 2.56 5.7 5.7 5.7s5.7-2.55 5.7-5.7c0-3.15-2.56-5.69-5.7-5.69v.01zM7 
.98c3.86 0 7 3.14 7 7s-3.14 7-7 7-7-3.12-7-7 3.14-7 7-7z"/></svg></div>  See an 
error in this documentation?</h5>
+      </div>
+      <div class="admonition-content">
+    <p>Submit a pull request on the development branch of <a 
href="https://github.com/apache/incubator-milagro";>Milagro Website Repo</a>.</p>
+</div></div><!--
+Supported admonition types are: caution, note, important, tip, warning.
+--><hr class="footnotes-sep">
+<section class="footnotes">
+<ol class="footnotes-list">
+<li id="fn1"  class="footnote-item"><p><a 
href="https://en.wikipedia.org/wiki/Post-quantum_cryptography";>Wikipedia 
article</a> <a href="#fnref1" class="footnote-backref">↩</a></p>
+</li>
+<li id="fn2"  class="footnote-item"><p><a 
href="https://en.wikipedia.org/wiki/Zero-knowledge_proof";>Wikipedia article</a> 
<a href="#fnref2" class="footnote-backref">↩</a></p>
+</li>
+</ol>
+</section>
+</span></div></article></div><div class="docs-prevnext"><a class="docs-prev 
button" href="/docs/milagro-intro"><span class="arrow-prev">← 
</span><span>Milagro Introduction</span></a><a class="docs-next button" 
href="/docs/milagro-protocols"><span>Milagro Protocols</span><span 
class="arrow-next"> →</span></a></div></div></div><nav class="onPageNav"><ul 
class="toc-headings"><li><a href="#elliptic-curve-cryptography">Elliptic Curve 
Cryptography</a></li><li><a href="#pairing-based-cryptography">Pairing Based 
Cryptography</a></li><li><a href="#identity-based-encryption">Identity Based 
Encryption</a></li><li><a href="#post-quantum-cryptography">Post-Quantum 
Cryptography</a></li><li><a href="#zero-knowledge-proof">Zero Knowledge 
Proof</a></li><li><a href="#summary">Summary</a></li></ul></nav></div><footer 
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