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draft-irtf-cfrg-vrf.html
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<!DOCTYPE html>
<html lang="en" class="Internet-Draft">
<head>
<meta charset="utf-8">
<meta content="Common,Latin" name="scripts">
<meta content="initial-scale=1.0" name="viewport">
<title>Verifiable Random Functions (VRFs)</title>
<meta content="Sharon Goldberg" name="author">
<meta content="Leonid Reyzin" name="author">
<meta content="Dimitrios Papadopoulos" name="author">
<meta content="Jan Vcelak" name="author">
<meta content="
A Verifiable Random Function (VRF) is the public-key version of a
keyed cryptographic hash. Only the holder of the secret key
can compute the hash, but anyone with the public key
can verify the correctness of the hash.
VRFs are useful for preventing enumeration of hash-based data structures.
This document specifies VRF constructions based on RSA and elliptic curves that are secure in
the cryptographic random oracle model.
This document is a product of the Crypto Forum Research Group (CFRG) in the IRTF.
" name="description">
<meta content="xml2rfc 3.11.1" name="generator">
<meta content="public key cryptography" name="keyword">
<meta content="hashing" name="keyword">
<meta content="authenticated denial" name="keyword">
<meta content="draft-irtf-cfrg-vrf-15" name="ietf.draft">
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google-i18n-address 2.5.0
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setuptools 49.2.1
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<link href="draft-irtf-cfrg-vrf.xml" rel="alternate" type="application/rfc+xml">
<link href="#copyright" rel="license">
<style type="text/css">/*
NOTE: Changes at the bottom of this file overrides some earlier settings.
Once the style has stabilized and has been adopted as an official RFC style,
this can be consolidated so that style settings occur only in one place, but
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provided to the RFC Formatter (xml2rfc) work, followed by itemized and
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height: auto;
}
}
/* pagination */
@media print {
body {
width: 100%;
}
p {
orphans: 3;
widows: 3;
}
#n-copyright-notice {
border-bottom: none;
}
#toc, #n-introduction {
page-break-before: always;
}
#toc {
border-top: none;
padding-top: 0;
}
figure, pre {
page-break-inside: avoid;
}
figure {
overflow: scroll;
}
h1, h2, h3, h4, h5, h6 {
page-break-after: avoid;
}
h2+*, h3+*, h4+*, h5+*, h6+* {
page-break-before: avoid;
}
pre {
white-space: pre-wrap;
word-wrap: break-word;
font-size: 10pt;
}
table {
border: 1px solid #ddd;
}
td {
border-top: 1px solid #ddd;
}
}
/* This is commented out here, as the string-set: doesn't
pass W3C validation currently */
/*
.ears thead .left {
string-set: ears-top-left content();
}
.ears thead .center {
string-set: ears-top-center content();
}
.ears thead .right {
string-set: ears-top-right content();
}
.ears tfoot .left {
string-set: ears-bottom-left content();
}
.ears tfoot .center {
string-set: ears-bottom-center content();
}
.ears tfoot .right {
string-set: ears-bottom-right content();
}
*/
@page :first {
padding-top: 0;
@top-left {
content: normal;
border: none;
}
@top-center {
content: normal;
border: none;
}
@top-right {
content: normal;
border: none;
}
}
@page {
size: A4;
margin-bottom: 45mm;
padding-top: 20px;
/* The follwing is commented out here, but set appropriately by in code, as
the content depends on the document */
/*
@top-left {
content: 'Internet-Draft';
vertical-align: bottom;
border-bottom: solid 1px #ccc;
}
@top-left {
content: string(ears-top-left);
vertical-align: bottom;
border-bottom: solid 1px #ccc;
}
@top-center {
content: string(ears-top-center);
vertical-align: bottom;
border-bottom: solid 1px #ccc;
}
@top-right {
content: string(ears-top-right);
vertical-align: bottom;
border-bottom: solid 1px #ccc;
}
@bottom-left {
content: string(ears-bottom-left);
vertical-align: top;
border-top: solid 1px #ccc;
}
@bottom-center {
content: string(ears-bottom-center);
vertical-align: top;
border-top: solid 1px #ccc;
}
@bottom-right {
content: '[Page ' counter(page) ']';
vertical-align: top;
border-top: solid 1px #ccc;
}
*/
}
/* Changes introduced to fix issues found during implementation */
/* Make sure links are clickable even if overlapped by following H* */
a {
z-index: 2;
}
/* Separate body from document info even without intervening H1 */
section {
clear: both;
}
/* Top align author divs, to avoid names without organization dropping level with org names */
.author {
vertical-align: top;
}
/* Leave room in document info to show Internet-Draft on one line */
#identifiers dt {
width: 8em;
}
/* Don't waste quite as much whitespace between label and value in doc info */
#identifiers dd {
margin-left: 1em;
}
/* Give floating toc a background color (needed when it's a div inside section */
#toc {
background-color: white;
}
/* Make the collapsed ToC header render white on gray also when it's a link */
@media screen and (max-width: 1023px) {
#toc h2 a,
#toc h2 a:link,
#toc h2 a:focus,
#toc h2 a:hover,
#toc a.toplink,
#toc a.toplink:hover {
color: white;
background-color: #444;
text-decoration: none;
}
}
/* Give the bottom of the ToC some whitespace */
@media screen and (min-width: 1024px) {
#toc {
padding: 0 0 1em 1em;
}
}
/* Style section numbers with more space between number and title */
.section-number {
padding-right: 0.5em;
}
/* prevent monospace from becoming overly large */
tt, code, pre, code {
font-size: 95%;
}
/* Fix the height/width aspect for ascii art*/
pre.sourcecode,
.art-text pre {
line-height: 1.12;
}
/* Add styling for a link in the ToC that points to the top of the document */
a.toplink {
float: right;
margin-right: 0.5em;
}
/* Fix the dl styling to match the RFC 7992 attributes */
dl > dt,
dl.dlParallel > dt {
float: left;
margin-right: 1em;
}
dl.dlNewline > dt {
float: none;
}
/* Provide styling for table cell text alignment */
table td.text-left,
table th.text-left {
text-align: left;
}
table td.text-center,
table th.text-center {
text-align: center;
}
table td.text-right,
table th.text-right {
text-align: right;
}
/* Make the alternative author contact informatio look less like just another
author, and group it closer with the primary author contact information */
.alternative-contact {
margin: 0.5em 0 0.25em 0;
}
address .non-ascii {
margin: 0 0 0 2em;
}
/* With it being possible to set tables with alignment
left, center, and right, { width: 100%; } does not make sense */
table {
width: auto;
}
/* Avoid reference text that sits in a block with very wide left margin,
because of a long floating dt label.*/
.references dd {
overflow: visible;
}
/* Control caption placement */
caption {
caption-side: bottom;
}
/* Limit the width of the author address vcard, so names in right-to-left
script don't end up on the other side of the page. */
address.vcard {
max-width: 30em;
margin-right: auto;
}
/* For address alignment dependent on LTR or RTL scripts */
address div.left {
text-align: left;
}
address div.right {
text-align: right;
}
/* Provide table alignment support. We can't use the alignX classes above
since they do unwanted things with caption and other styling. */
table.right {
margin-left: auto;
margin-right: 0;
}
table.center {
margin-left: auto;
margin-right: auto;
}
table.left {
margin-left: 0;
margin-right: auto;
}
/* Give the table caption label the same styling as the figcaption */
caption a[href] {
color: #222;
}
@media print {
.toplink {
display: none;
}
/* avoid overwriting the top border line with the ToC header */
#toc {
padding-top: 1px;
}
/* Avoid page breaks inside dl and author address entries */
.vcard {
page-break-inside: avoid;
}
}
/* Tweak the bcp14 keyword presentation */
.bcp14 {
font-variant: small-caps;
font-weight: bold;
font-size: 0.9em;
}
/* Tweak the invisible space above H* in order not to overlay links in text above */
h2 {
margin-top: -18px; /* provide offset for in-page anchors */
padding-top: 31px;
}
h3 {
margin-top: -18px; /* provide offset for in-page anchors */
padding-top: 24px;
}
h4 {
margin-top: -18px; /* provide offset for in-page anchors */
padding-top: 24px;
}
/* Float artwork pilcrow to the right */
@media screen {
.artwork a.pilcrow {
display: block;
line-height: 0.7;
margin-top: 0.15em;
}
}
/* Make pilcrows on dd visible */
@media screen {
dd:hover > a.pilcrow {
visibility: visible;
}
}
/* Make the placement of figcaption match that of a table's caption
by removing the figure's added bottom margin */
.alignLeft.art-text,
.alignCenter.art-text,
.alignRight.art-text {
margin-bottom: 0;
}
.alignLeft,
.alignCenter,