A Privacy Protection User Authentication and Key Agreement Scheme Tailored for the Internet of Things Environment: PriAuth

<table class="table-group" id="tab13"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Operations</td><td class="align_center">Time</td><td class="align_center">Experiment times</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left"><span style="width: 15.5372ptpx;"><svg height="12.1436pt" id="M506" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -8.96212 15.5372 12.1436" width="15.5372pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.176,3.132)"><path d="M870 650H600L593 618C681 609 684 605 669 516L641 367H261L286 516C302 603 313 610 391 618L398 650H132L123 618C214 610 218 606 200 516L127 130C113 46 107 40 25 32L18 0H290L298 32C204 40 200 42 214 130L250 321H631L596 131C580 47 573 39 484 32L475 0H753L762 32C673 39 668 46 685 130L757 516C772 606 778 610 861 618L870 650Z" id="g50-73"></path></g></svg><i>: one way hash function</i></span></td><td class="align_center">0.0394 ms</td><td class="align_center">1000000</td></tr><tr><td class="align_left"><i>T</i><sub><i>E/D</i></sub><i>: symmetric encryption/decryption</i></td><td class="align_center">0.5728 ms</td><td class="align_center">100000</td></tr><tr><td class="align_left"><span style="width: 27.8683ptpx;"><svg height="12.2578pt" id="M507" style="vertical-align:-3.29568pt" version="1.1" viewbox="-0.0498162 -8.96212 27.8683 12.2578" width="27.8683pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.176,3.132)"><path d="M871 0V33C783 41 780 45 777 152L768 506C765 610 771 609 860 617V650H683L453 157L228 650H59V617C150 609 154 606 146 481L132 275C124 170 117 125 112 93C105 50 84 39 27 34V0H267V34C200 39 176 48 173 93C170 130 171 172 176 256L190 540H192L414 8H438L682 554H685L689 152C689 45 686 41 604 33V0H871Z" id="g58-75"></path></g><g transform="matrix(.0091,0,0,-0.0091,15.384,3.132)"><path d="M727 650H480V617C552 612 575 600 580 563C583 531 587 491 587 398V326C587 153 534 44 398 44C281 44 210 124 210 296V519C210 607 218 612 298 617V650H33V617C114 609 123 607 123 519V274C123 153 151 81 211 34C258 -1 314 -14 374 -14C441 -14 509 7 556 56C615 116 633 202 633 322V398C633 491 635 533 639 561C643 600 667 614 727 617V650Z" id="g58-83"></path></g><g transform="matrix(.0091,0,0,-0.0091,22.182,3.132)"><path d="M499 166C484 119 466 88 447 68C424 43 390 38 338 38C297 38 262 40 242 51C223 62 218 80 218 133V522C218 607 226 612 309 617V650H41V617C124 612 131 605 131 522V129C131 45 123 38 38 33V0H497C505 30 529 128 534 160L499 166Z" id="g58-74"></path></g></svg><i>: scalar multiplication in ECC-160 </i></span></td><td class="align_center">3.66 ms</td><td class="align_center">2733</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Computation time of different operations.

Wireless Communications and Mobile Computing

tab13

Table 13

Table 13: A Privacy Protection User Authentication and Key Agreement Scheme Tailored for the Internet of Things Environment: PriAuth 