CINXE.COM
Mutual Authentication using Certificates – Cryptography & Payments
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</script><link rel="icon" href="https://arthurvandermerwe.com/wp-content/uploads/2018/09/cropped-arthur4.png?w=32" sizes="32x32" /> <link rel="icon" href="https://arthurvandermerwe.com/wp-content/uploads/2018/09/cropped-arthur4.png?w=192" sizes="192x192" /> <link rel="apple-touch-icon" href="https://arthurvandermerwe.com/wp-content/uploads/2018/09/cropped-arthur4.png?w=180" /> <meta name="msapplication-TileImage" content="https://arthurvandermerwe.com/wp-content/uploads/2018/09/cropped-arthur4.png?w=270" /> </head> <body class="post-template-default single single-post postid-216 single-format-standard wp-embed-responsive customizer-styles-applied singular has-main-navigation jetpack-reblog-enabled"> <div id="page" class="site"> <a class="skip-link screen-reader-text" href="#content">Skip to content</a> <header id="masthead" class="site-header header_classes has-title-and-tagline has-menu" role="banner"> <div class="site-branding"> <p class="site-title"><a href="https://arthurvandermerwe.com/" rel="home">Cryptography & Payments</a></p> <p class="site-description"> Arthur Van Der Merwe </p> </div><!-- .site-branding --> <nav id="site-navigation" class="primary-navigation" role="navigation" aria-label="Main"> <button id="primary-close-menu" class="button close"> <span class="dropdown-icon close">Close <svg class="svg-icon" width="24" height="24" aria-hidden="true" role="img" focusable="false" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg"><path fill-rule="evenodd" clip-rule="evenodd" d="M12 10.9394L5.53033 4.46973L4.46967 5.53039L10.9393 12.0001L4.46967 18.4697L5.53033 19.5304L12 13.0607L18.4697 19.5304L19.5303 18.4697L13.0607 12.0001L19.5303 5.53039L18.4697 4.46973L12 10.9394Z" fill="currentColor"/></svg></span> <span class="hide-visually collapsed-text">collapsed</span> </button> <div class="primary-menu-container"><ul id="menu-financial-switching-1" class="menu-wrapper"><li class="menu-item menu-item-type-taxonomy menu-item-object-category menu-item-239"><a href="https://arthurvandermerwe.com/category/hsm/">HSM</a></li> <li class="menu-item menu-item-type-taxonomy menu-item-object-category current-post-ancestor current-menu-parent current-post-parent menu-item-240"><a href="https://arthurvandermerwe.com/category/cryptography-2/">Cryptography</a></li> <li class="menu-item menu-item-type-taxonomy menu-item-object-category menu-item-241"><a href="https://arthurvandermerwe.com/category/financial-switching/">Financial Switching</a></li> <li class="menu-item menu-item-type-taxonomy menu-item-object-category menu-item-242"><a href="https://arthurvandermerwe.com/category/atm-tracing/">ATM Tracing</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-27"><a href="https://arthurvandermerwe.com/downloads/">Downloads</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-5"><a href="https://arthurvandermerwe.com/about/">About</a></li> </ul></div> </nav><!-- #site-navigation --> <div class="menu-button-container"> <button id="primary-open-menu" class="button open"> <span class="dropdown-icon open">Menu <svg class="svg-icon" width="24" height="24" aria-hidden="true" role="img" focusable="false" viewBox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg"><path fill-rule="evenodd" clip-rule="evenodd" d="M4.5 6H19.5V7.5H4.5V6ZM4.5 12H19.5V13.5H4.5V12ZM19.5 18H4.5V19.5H19.5V18Z" fill="currentColor"/></svg></span> <span class="hide-visually expanded-text">expanded</span> </button> </div> <div class="menu-button-container"> </div> </header><!-- #masthead --> <div id="content" class="site-content"> <section id="primary" class="content-area"> <main id="main" class="site-main" role="main"> <article id="post-216" class="post-216 post type-post status-publish format-standard hentry category-cryptography-2 entry"> <header class="entry-header default-max-width"> <h1 class="entry-title">Mutual Authentication using Certificates</h1> <div class="entry-meta"> </div><!-- .meta-info --> </header> <div class="entry-content"> <div class="cs-rating pd-rating" id="pd_rating_holder_7692610_post_216"></div><br/><p>Mutual SSL authentication or certificate based mutual authentication refers to two parties authenticating each other through verifying the provided digital certificate so that both parties are assured of the others’ identity. In technology terms, it refers to a client (ATM) authenticating themselves to a server (Switch) and that server also authenticating itself to the client through verifying the <a href="http://en.wikipedia.org/wiki/Digital_certificate">public key certificate/digital certificate</a> issued by the trusted <a href="http://en.wikipedia.org/wiki/Certificate_authority">Certificate Authorities (CAs)</a>.</p> <p>Because authentication relies on digital certificates, certification authorities and Certificate Server are an important part of the mutual authentication process. From a high-level point of view, the process of authenticating and establishing an encrypted channel using certificate-based mutual authentication involves the following steps in TLS:</p> <ol> <li>A client requests access to a protected resource.</li> <li>The server presents its certificate to the client.</li> <li>The client verifies the server’s certificate.</li> <li>If successful, the client sends its certificate to the server.</li> <li>The server verifies the client’s credentials.</li> <li>If successful, the server grants access to the protected resource requested by the client.</li> </ol> <p> </p> <h2><a name="_Toc473815937"></a>TLS Mutual Authentication Handshake</h2> <p> </p> <p>The TLS handshake firstly agrees the protocol to be used by both parties, then exchanges certificates and validates the signatures on each certificates. Below are more detailed steps explaining the handshake.</p> <ol> <li>The TLS client sends a “client hello” message that lists cryptographic information such as the SSL or TLS version and, in the client’s order of preference, the CipherSuites supported by the client. The message also contains a random byte string that is used in subsequent computations. The protocol allows for the “client hello” to include the data compression methods supported by the client.</li> <li>The TLS server responds with a “server hello” message that contains the CipherSuite chosen by the server from the list provided by the client, the session ID, and another random byte string. The server also sends its digital certificate. The server sends a “client certificate request” that includes a list of the types of certificates supported and the Distinguished Names of acceptable Certification Authorities (CAs).</li> <li>The TLS client verifies the server’s digital certificate.</li> <li>The TLS client sends the random byte string that enables both the client and the server to compute the secret key to be used for encrypting subsequent message data. The random byte string itself is encrypted with the server’s public key.</li> <li>If the TLS server sent a “client certificate request”, the client sends a random byte string encrypted with the client’s private key, together with the client’s digital certificate, or a “no digital certificate alert”. This alert is only a warning, but we will not be allowing transactions without a client certificate.</li> <li>The TLS server verifies the client’s certificate.</li> <li>The TLS client sends the server a “finished” message, which is encrypted with the secret key, indicating that the client part of the handshake is complete.</li> <li>The TLS server sends the client a “finished” message, which is encrypted with the secret key, indicating that the server part of the handshake is complete.</li> <li>For the duration of the TLS session, the server and client can now exchange messages that are symmetrically encrypted with the shared secret key.</li> </ol> <p>In order to have a clear understanding of public key cryptography and digital signatures, the following section provides a high level overview of the encryption scheme using mutual authentication and certificate authorities.</p> <p> </p> <h2><a name="_Toc473815938"></a>Public-key certificate scheme Basics</h2> <p><em>In this section we use Alice and Bob as two parties that exchange messages, Oscar is a malicious user trying to decrypt and steal data.</em></p> <p>The underlying problem with normal RSA is that the server has no real proof of who its communicating to. If a server is issuing public keys to all parties, how can it identify each individual user and ensue the public keys belong to valid users? Public certificates are also susceptible to Man in the Middle Attacks (MIM) where Oscar can pretend to be Alice and the server have not way of knowing.</p> <p>Message authentication ensures that the sender of a message is authentic. However, in the scenario at hand Bob receives a public key which is supposedly Alice’s, but he has no way of knowing whether that is in fact the case. To make this point clear, let’s examine how a key of a user Alice would look in practice:</p> <p style="text-align:center;"><em>k</em><em>A </em>= (<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>)</p> <p><em>,</em>where <em>ID</em><em>A </em>is identifying information, e.g., Alice’s IP address or her name together with date of birth. The actual public key <em>k</em><em>pub</em><em>,</em><em>A</em>, however, is a mere binary string, e.g., 2048 bit. If Oscar performs a MIM attack, he would change the key to:</p> <p style="text-align:center;"><em>k</em><em>A </em>= (<em>k</em><em>pub</em><em>,</em><em>O</em><em>,</em><em>ID</em><em>A</em>)</p> <p>Since everything is unchanged except the anonymous actual bit string, the receiver will not be able to detect that it is in fact Oscar’s. This observation has far-reaching consequences which can be summarized as: <strong>Even though public-key schemes do not require a secure channel; they require authenticated channels for the distribution of the public keys.</strong></p> <p>The idea behind certificates and authenticated channels is quite easy: Since the authenticity of the message (<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>)is violated by an active Man in the middle attack, we apply a cryptographic mechanism that provides authentication. More specifically, we use digital signatures. Thus, a certificate for a user Alice in its most basic form is the following structure where <em>ID</em><em>A </em>is identifying information like a terminal id or serial number:</p> <p style="text-align:center;">Cert<em>A </em>= [(<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>)<em>, </em>sig<em>k</em><em>pr </em>(<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>)]</p> <p>The idea is that the receiver of a certificate verifies the signature prior to using the certificate, and both the client and the server validates the signature before using the public key. The signature protects the signed message which is the structure (<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>) in this case—against manipulation. If Oscar attempts to replace <em>k</em><em>pub</em><em>,</em><em>A </em>by <em>k</em><em>pub</em><em>,</em><em>O </em>it will be detected. Thus, it is said that certificates bind the identity of a user to their public key.</p> <p> </p> <p>Certificates require that the receiver has the correct verification key, which is a public key. If we were to use Alice’s public key for this, we would have the same problem that we are actually trying to solve and Oscar can impersonate Alice. Instead, the signatures for certificates are provided by a mutually trusted third party. This party is called the Certification Authority commonly abbreviated as CA. It is the task of the CA to generate and issue certificates for all users in the system.</p> <p>For certificate generation, we can distinguish between two main cases. In the first case, the user computes her own asymmetric key pair and merely requests the CA to sign the public key, as shown in the following simple protocol for a user named Alice:</p> <p> </p> <p> </p> <p>Table 1 Certificate Generation with User-Provided Keys</p> <table> <tbody> <tr> <td width="245">Description</td> <td width="123"><strong>Alice</strong></td> <td width="123"><strong>Request / Response</strong></td> <td width="156"><strong>CA</strong></td> </tr> <tr> <td width="245">Alice generates a public private key pair</td> <td width="123">generate <em>k</em><em>pr</em><em>,</em><em>A</em><em>, </em><em>k</em><em>pub</em><em>,</em><em>A</em></td> <td width="123"> </td> <td width="156"> </td> </tr> <tr> <td width="245">Sends this to the CA</td> <td width="123"> </td> <td width="123">RQST(<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>)<em>→</em></td> <td width="156"> </td> </tr> <tr> <td width="245">CA verifies Alice’s identity</td> <td width="123"> </td> <td width="123"> </td> <td width="156">verify <em>ID</em><em>A</em></td> </tr> <tr> <td width="245">CA signs Alice public key with its private key</td> <td width="123"> </td> <td width="123"> </td> <td width="156"><em>s</em><em>A </em>= sig<em>k</em><em>pr </em><em>,</em><em>CA</em>(<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>)</td> </tr> <tr> <td width="245">CA creates a certificate (public private key pair) with its signature</td> <td width="123"> </td> <td width="123"> </td> <td width="156">Cert<em>A </em>= [(<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>)<em>, </em><em>s</em><em>A</em>]</td> </tr> <tr> <td width="245">Certificate is distributed to Alice for usage</td> <td width="123"> </td> <td width="123"><em>←</em>Cert<em>A</em></td> <td width="156"> </td> </tr> <tr> <td width="245"> </td> <td width="123"> </td> <td width="123"> </td> <td width="156"> </td> </tr> </tbody> </table> <p>From a security point of view, the first transaction is crucial. It must be assured that Alice’s message (<em>k</em><em>pub</em><em>,</em><em>A</em><em>, </em><em>ID</em><em>A</em>) is sent via an authenticated channel. Otherwise, Oscar could request a certificate in Alice’s name.</p> <p>In practice it is often advantageous that the CA not only signs the public keys but also generates the public–private key pairs for each user. In this case, a basic protocol looks like this:</p> <p>Table 2 Certificate Generation with CA-Generated Keys</p> <table> <tbody> <tr> <td width="245">Description</td> <td width="123"><strong>Alice</strong></td> <td width="123"><strong>Request / Response</strong></td> <td width="156"><strong>CA</strong></td> </tr> <tr> <td width="245">Alice request certificate</td> <td width="123">request certificate</td> <td width="123"> </td> <td width="156"> </td> </tr> <tr> <td width="245">Sends this to the CA</td> <td width="123"> </td> <td width="123"><em>−</em>RQST(<em>,</em><em>ID</em><em>A</em>)<em>→</em></td> <td width="156"> </td> </tr> <tr> <td width="245">CA verifies Alice’s identity</td> <td width="123"> </td> <td width="123"> </td> <td width="156">verify <em>ID</em><em>A</em></td> </tr> <tr> <td width="245">CA generates new certificate</td> <td width="123"> </td> <td width="123"> </td> <td width="156">generate <em>k</em><em>pr</em><em>,</em><em>A</em><em>, </em><em>k</em><em>pub</em><em>,</em><em>A</em></td> </tr> <tr> <td width="245">CA signs Alice public key with its private key</td> <td width="123"> </td> <td width="123"> </td> <td width="156"><em>s</em><em>A </em>= sig<em>k</em><em>pr </em><em>,</em><em>CA</em>(<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>)</td> </tr> <tr> <td width="245">CA creates a certificate (public private key pair) with its signature</td> <td width="123"> </td> <td width="123"> </td> <td width="156">Cert<em>A </em>= [(<em>k</em><em>pub</em><em>,</em><em>A</em><em>,</em><em>ID</em><em>A</em>)<em>, </em><em>s</em><em>A</em>]</td> </tr> <tr> <td width="245">Certificate is distributed to Alice for usage</td> <td width="123"> </td> <td width="123"><em>←</em>Cert<em>A</em></td> <td width="156"> </td> </tr> <tr> <td width="245"> </td> <td width="123"> </td> <td width="123"> </td> <td width="156"> </td> </tr> </tbody> </table> <p>For the first transmission, an authenticated channel is needed. In other words: The CA must be assured that it is really Alice who is requesting a certificate, and not Oscar who is requesting a certificate in Alice’s name. Even more sensitive is the second transmission consisting of (Cert<em>A</em><em>, </em><em>k</em><em>pr</em><em>,</em><em>A</em>). Because the private key is being sent here, not only an authenticated but a secure channel is required. In practice, this could be a certificate delivered by mail or USB stick.</p> <p>Table 3 Diffie–Hellman Key Exchange with Certificates</p> <table> <tbody> <tr> <td width="245">Description</td> <td width="123"><strong>Alice</strong></td> <td width="123"><strong>Request / Response</strong></td> <td width="156"><strong>Bob</strong></td> </tr> <tr> <td width="245">Both Alice and Bob have private keys issued by a trusted CA</td> <td width="123"><em>a </em>= <em>k</em><em>pr</em><em>,</em><em>A</em></td> <td width="123"> </td> <td width="156"><em>b </em>= <em>k</em><em>pr</em><em>,</em><em>B</em></td> </tr> <tr> <td width="245"> </td> <td width="123"><em>A </em>= <em>k</em><em>pub</em><em>,</em><em>A </em><em>≡</em> a<em> <sup>a </sup></em>mod <em>p</em></td> <td width="123"> </td> <td width="156"><em>B</em>= <em>k</em><em>pub</em><em>,</em><em>B </em><em>≡</em>a<em><sup>B</sup></em> mod <em>p</em></td> </tr> <tr> <td width="245">Both Alice and Bob generates a public key and signs it with their private key and identity</td> <td width="123">Cert<em>A </em>= [(<em>A</em><em>,</em><em>ID</em><em>A</em>)<em>, </em><em>s</em><em>A</em>]</td> <td width="123"> </td> <td width="156">Cert<em>B </em>= [(<em>B</em><em>,</em><em>ID</em><em>B</em>)<em>, </em><em>s</em><em>B</em>]</td> </tr> <tr> <td rowspan="2" width="245">Certificates are exchanged</td> <td width="123"> </td> <td width="123"><em> </em>Cert<em>A</em><em> →</em></td> <td width="156"> </td> </tr> <tr> <td width="123"> </td> <td width="123"><em>←</em>Cert<em>B</em></td> <td width="156"> </td> </tr> <tr> <td width="245"> </td> <td width="123">verify certificate:</td> <td width="123"> </td> <td width="156">verify certificate:</td> </tr> <tr> <td width="245">Both Alice and Bob use the public key of the CA to verify the signature of the certificate</td> <td width="123">ver<em>k</em><em>pub</em><em>,</em><em>CA </em>(Cert<em>B</em>)</td> <td width="123"> </td> <td width="156">ver<em>k</em><em>pub</em><em>,</em><em>CA </em>(Cert<em>A</em>)</td> </tr> <tr> <td width="245"> </td> <td width="123">compute session key:</td> <td width="123"> </td> <td width="156">compute session key:</td> </tr> <tr> <td width="245">Session key can now be computed.</td> <td width="123"><em>k</em><em>AB </em><em>≡ </em><em>B</em><em>a </em>mod<em>p</em></td> <td width="123"> </td> <td width="156"><em>k</em><em>AB </em><em>≡ </em><em>A</em><em>b </em>mod <em>p</em></td> </tr> </tbody> </table> <p> </p> <p>One very crucial point here is the verification of the certificates. Obviously, without verification, the signatures within the certificates would be of no use. As can be seen in the protocol, verification requires the public key of the CA. This key must be transmitted via an authenticated channel; What’s happening here from a more abstract point of view is extremely interesting, namely a transfer of trust. With the introduction of certificates, they only have to trust the CA’s public key <em>k</em><em>pub</em><em>,</em><em>CA</em>. If the CA signs other public keys, Alice and Bob know that they can also trust those. This is called a chain of trust.</p> <p> </p> <h2><a name="_Toc473815939"></a>Certificate Structure</h2> <p>Discussing the fields defined in a X.509 certificate gives us some insight into many aspects of PKIs. We discuss the most relevant ones in the following:</p> <ul> <li><strong><em>Certificate Algorithm:</em></strong> Here it is specified which signature algorithm is being used, e.g., RSA with SHA-1 or ECDSA with SHA-2, and with which parameters, e.g., the bit lengths.</li> <li><strong>Issuer:</strong> There are many companies and organizations that issue certificates. This field specifies who generated the one at hand.</li> <li><strong>Period of Validity: In</strong> most cases, a public key is not certified indefinitely but rather for a limited time, e.g., for one or two years. One reason for doing this is that private keys which belong to the certificate may become compromised. By limiting the validity period, there is only a certain time span during which an attacker can maliciously use the private key. Another reason for a restricted lifetime is that, especially for certificates for companies, it can happen that the user ceases to exist. If the certificates, and thus the public keys, are only valid for limited time, the damage can be controlled.</li> <li><strong>Subject:</strong> This field contains what was called <em>ID</em><em>A </em>or <em>ID</em><em>B </em>in our earlier examples. It contains identifying information such as names of people or organizations. Note that not only actual people but also entities like companies can obtain certificates.</li> <li><strong>Subject’s Public Key:</strong> The public key that is to be protected by the certificate is here. In addition to the binary string which is the public key, the algorithm (e.g., Diffie–Hellman) and the algorithm parameters, e.g., the modulus p and the primitive element a, are stored.</li> <li><strong>Signature:</strong> The signature over all other fields of the certificate.</li> </ul> <p> </p> <p>We note that for every signature two public key algorithms are involved: the one whose public key is protected by the certificate and the algorithm with which the certificate is signed. These can be entirely different algorithms and parameter sets. For instance, the certificate might be signed with an RSA 2048-bit algorithm, while the public key within the certificate could belong to a 160-bit elliptic curve scheme.</p> <h2><a name="_Toc473815940"></a>Certificate Revocation</h2> <p>One major issue in practice is that it must be possible to revoke certificates. A common reason is that a certificate is stored on a smart card which is lost. Another reason could be that a person left an organization and one wants to make sure that she is not using the public key that was given to her. The solution in these situations seems easy: Just publish a list with all certificates that are currently invalid. Such a list is called a certificate revocation list, or CRL. Typically, the serial numbers of certificates are used to identify the revoked certificates. Of course, a CRL must be signed by the CA since otherwise attacks are possible.</p> <p> </p> <p>The problem with CLRs is how to transmit them to the users. The most straightforward way is that every user contacts the issuing CA every time a certificate of another user is received. The major drawback is that now the CA is involved in every session set-up. This was one major drawback of KDC-based, i.e., symmetric key, approaches. The promise of certificate-based communication was that no online contact to a central authority was needed.</p> <p>An alternative is that CRLs are sent out periodically. The problem with this approach is that there is always a period during which a certificate is invalid but users have not yet been informed. For instance, if the CRL is sent out at 3:00 am every morning (a time with relatively little network traffic otherwise), a dishonest person could have almost a whole day where a revoked certificate is still valid. To counter this, the CRL update period can be shortened, say to one hour.</p> <p>However, this would be a tremendous burden on the bandwidth of the network. This is an instructive example for the trade-off between costs in the form of network traffic on one hand, and security on the other hand. In practice, a reasonable compromise must be found. In order to keep the size of CRLs moderate, often only the changes from the last CRL broadcast are sent out. 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