{"id":364,"date":"2023-04-24T23:19:11","date_gmt":"2023-04-24T23:19:11","guid":{"rendered":"https:\/\/nau.edu\/research\/?page_id=364"},"modified":"2024-12-12T20:29:32","modified_gmt":"2024-12-12T20:29:32","slug":"puf-based-key-generation-for-lattice-and-code-cryptography","status":"publish","type":"page","link":"https:\/\/in.nau.edu\/research\/innovations\/available-technologies\/cybersecurity\/puf-based-key-generation-for-lattice-and-code-cryptography\/","title":{"rendered":"PUF-Based Key Generation for Lattice and Code Cryptography"},"content":{"rendered":"<div class=\"nau-block nau-block-left-nav-top-bound\">\n    \t<button id=\"left-nav-toggle-btn\" onclick=\"toggleNav();\">\n\t\tON THIS PAGE \n\t\t<i id=\"chevron-icon\" class=\"fas fa-solid fa-chevron-down\"><\/i>\n\t<\/button>\n\t<div id=\"left-nav-menu-track\">\n\t\t<div id=\"left-nav-wrapper\">\n\t\t\t<div class=\"rfi-above-anchor-tags\">\n\t\t\t\t<div class=\"ri-container\">\n\t\t\t\t\t<a href=\"https:\/\/nau.edu\/admissions\/request-information\/\" id=\"request-info\" class=\"btn bg-true-blue left-nav-menu-bottom-button display-mobile\">Request info&nbsp;&nbsp;<\/a>\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div id=\"left-nav-menu\">\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"menu-section backcolor\">\n\t\t\t\t\t<div class=\"header\">\n\t\t\t\t\t\tHOW CAN WE HELP?\t\t\t\t\t<\/div>\n\t\t\t\t\t<ul class=\"responsive-icons\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<li><a href=\"tel:928-523-4620\"><img decoding=\"async\" src=\"https:\/\/in.nau.edu\/wp-content\/themes\/nau-marketing-2021\/img\/icon-phone.svg\" alt=\"Telephone:\"> 928-523-4620<\/a>\n\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t\t\t\t\t<li><a href=\"mailto:nauinnovations@nau.edu\"><img decoding=\"async\" src=\"https:\/\/in.nau.edu\/wp-content\/themes\/nau-marketing-2021\/img\/icon-email.svg\" alt=\"Email:\"><span class=\"left-nav-email\"> nauinnovations&#8203;@nau.edu <\/span><\/a><\/li>\n\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\n\t\t\t<\/div>\n\t\t<\/div>\n\t<\/div>\n<\/div>\n\n<section class=\"nau-block left-nav-section\"><header class=\"entry-header\"><div class=\"breadcrumb\"><ol class=\"breadcrumbs\"><li><a href=\"https:\/\/in.nau.edu\">IN<\/a><span class=\"breadcrumb-chevron\" aria-hidden=\"true\">&gt;<\/span><\/li><li><a href=\"https:\/\/in.nau.edu\/research\">Research<\/a><span class=\"breadcrumb-chevron\" aria-hidden=\"true\">&gt;<\/span><\/li><li class=\"current\">Pages<\/li><\/ol><\/div><h1 class=\"entry-title text-left \">PUF-Based Key Generation for Lattice and Code Cryptography<\/h1><hr class=\"h1-hr  text-left \" role=\"none\"><\/header><!-- .entry-header --><\/section><!-- <section class=\"nau-block left-nav-section grid-md-12\">\n    <header class=\"entry-header\">\n        <h1 class=\"entry-title text-left \" tabindex=\"0\" id=\"h1-first\">Dummy H1<\/h1>\n        <hr class=\"h1-hr  text-left \" role=\"none\">\n    <\/header>\n<\/section> -->\n\n<section class=\"nau-block left-nav-section grid-md-12\">\n    <div class=\"page-content\">\n        \n\n<h2 class=\"wp-block-heading\">Description<\/h2>\n\n\n\n<p>In most public key infrastructure (PKI) schemes for applications such as cryptographic currencies, financial transactions, secure mail, and wireless communications, the public keys are generated by private keys with RSA and elliptic curve cryptography (ECC). It is now anticipated that Quantum Computers (QC) will be able to break both RSA and ECC when the technology to manufacture enough quantum nodes becomes available. This disclosure describes how to generate cryptographic keys for lattice-based and code cryptography with physical unclonable functions (PUFs).<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Additional information<\/h2>\n\n\n\n<section  \n    class=\"nau-block nau-block-panels   \" \n    data-layout_mobile=\"groupLayout-Stack gutter_Default panelLayoutPhotoTextVertical  photoAspect-1-1\"\n        data-layout_tablet=\"groupLayout-Stack gutter_Default panelLayoutPhotoTextVertical  photoAspect-1-1\"\n        data-layout_desktop=\"groupLayout-Tabs gutter_Default panelLayoutPhotoTextVertical  photoAspect-1-1\"\n        data-layout_xl=\"groupLayout-Tabs gutter_Default panelLayoutPhotoTextVertical  photoAspect-1-1\">\n\n    <div class=\"background-wrapper\">\n        <div class=\"block-main-content\">\n            \n            \n                            <div class=\"tab-nav\" role=\"tablist\" aria-label=\"Tabs for  articles\">\n                                                \n                        <button data-panel=\"panel--0\"\n                            role=\"tab\"\n                            aria-controls=\"panel--0\"\n                            class=\"active bg-true-blue bg-none\"\n                            tabindex=\"0\">Patent number and inventor<\/button>\n                                                \n                        <button data-panel=\"panel--1\"\n                            role=\"tab\"\n                            aria-controls=\"panel--1\"\n                            class=\"after-active bg-true-blue bg-none\"\n                            tabindex=\"-1\">Potential applications<\/button>\n                                                \n                        <button data-panel=\"panel--2\"\n                            role=\"tab\"\n                            aria-controls=\"panel--2\"\n                            class=\" bg-true-blue bg-none\"\n                            tabindex=\"-1\">Benefits and advantages<\/button>\n                                                \n                        <button data-panel=\"panel--3\"\n                            role=\"tab\"\n                            aria-controls=\"panel--3\"\n                            class=\" bg-true-blue bg-none\"\n                            tabindex=\"-1\">Case number and licensing status<\/button>\n                                    <\/div>\n            \n            \n            \n            <div class=\"panel-wrapper\">\n                \n                                \n                        <div class=\"panel bg-true-blue  panelTypeText  noHover \"\n                            data-role=\"tabpanel\"\n                            data-panel=\"panel--0\"\n                            id=\"panel--0\">\n\n                            \n                                                                    <div class=\"content\">\n                                            <div class=\"text-wrapper\">\n                                                                                                <h3 class=\"h3-tab-index\">Patent number and inventor<\/h3>\n                                                \n                                                                                                    <div class=\"text\">\n                                                        <p>Patent pending<\/p>\n<p>Bertrand Cambou, Dina Ghanaimiandoab, Michael Gowanlock, Kaitlyn Lee, Stefan Nelson, Christopher Philabaum, Alyssa Stenberg, Jordan Wright, and Bahattin Yildiz.<\/p>\n                                                    <\/div>\n                                                \n                                                                                            <\/div>\n                                        <\/div>\n\n                                    \n                                \n                                                        <\/div>\n                    \n                        <div class=\"panel bg-true-blue  panelTypeText  noHover \"\n                            data-role=\"tabpanel\"\n                            data-panel=\"panel--1\"\n                            id=\"panel--1\">\n\n                            \n                                                                    <div class=\"content\">\n                                            <div class=\"text-wrapper\">\n                                                                                                <h3 class=\"h3-tab-index\">Potential applications<\/h3>\n                                                \n                                                                                                    <div class=\"text\">\n                                                        <p>Cybersecurity applications.<\/p>\n                                                    <\/div>\n                                                \n                                                                                            <\/div>\n                                        <\/div>\n\n                                    \n                                \n                                                        <\/div>\n                    \n                        <div class=\"panel bg-true-blue  panelTypeText  noHover \"\n                            data-role=\"tabpanel\"\n                            data-panel=\"panel--2\"\n                            id=\"panel--2\">\n\n                            \n                                                                    <div class=\"content\">\n                                            <div class=\"text-wrapper\">\n                                                                                                <h3 class=\"h3-tab-index\">Benefits and advantages<\/h3>\n                                                \n                                                                                                    <div class=\"text\">\n                                                        <p>Lattice-based and code cryptography can replace existing schemes such as RSA and elliptic curve cryptography due to its resistance to quantum computers.<\/p>\n                                                    <\/div>\n                                                \n                                                                                            <\/div>\n                                        <\/div>\n\n                                    \n                                \n                                                        <\/div>\n                    \n                        <div class=\"panel bg-true-blue  panelTypeText  noHover \"\n                            data-role=\"tabpanel\"\n                            data-panel=\"panel--3\"\n                            id=\"panel--3\">\n\n                            \n                                                                    <div class=\"content\">\n                                            <div class=\"text-wrapper\">\n                                                                                                <h3 class=\"h3-tab-index\">Case number and licensing status<\/h3>\n                                                \n                                                                                                    <div class=\"text\">\n                                                        <p>2021-022<\/p>\n<p>This invention is available for licensing.<\/p>\n                                                    <\/div>\n                                                \n                                                                                            <\/div>\n                                        <\/div>\n\n                                    \n                                \n                                                        <\/div>\n                                                <\/div>\n\n                   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nau-block-left-nav-bottom-bound\">\n\n<\/div>","protected":false},"excerpt":{"rendered":"","protected":false},"author":276,"featured_media":1278,"parent":59,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","ring_central_script_selection":"","footnotes":""},"class_list":["post-364","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/pages\/364","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/users\/276"}],"replies":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/comments?post=364"}],"version-history":[{"count":15,"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/pages\/364\/revisions"}],"predecessor-version":[{"id":6202,"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/pages\/364\/revisions\/6202"}],"up":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/pages\/59"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/media\/1278"}],"wp:attachment":[{"href":"https:\/\/in.nau.edu\/research\/wp-json\/wp\/v2\/media?parent=364"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}