Anonymous and Efficient Message Authentication Scheme for Smart Grid

<table class="fixed-width table-group" id="tab3"><tr><td><table class="table"><colgroup><col style="width:9.63em"/><col style="width:5.34em"/><col style="width:5.13em"/><col style="width:9.74em"/></colgroup><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left"> </td><td class="align_center"><span style="width: 50.1188ptpx;"><svg height="12.3628pt" id="M481" style="vertical-align:-3.40068pt" version="1.1" viewbox="-0.0498162 -8.96212 50.1188 12.3628" width="50.1188pt" 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"></path></g><g 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396C747 477 762 532 770 556C785 600 798 616 862 619L870 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,14.347,3.132)"><path d="M722 32C646 41 636 48 622 116L544 496L509 667L472 658L153 123C106 45 93 42 27 32L18 0H259L268 32C178 40 172 48 204 107L272 233H509C523 180 533 137 540 96C548 50 546 39 466 32L457 0H714L722 32ZM502 283H299L448 547H450L502 283Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,20.814,3.132)"><path d="M870 650H622L613 619C694 615 708 606 708 559C708 531 702 477 686 396L636 136H633L281 650H127L120 619C180 616 198 611 212 592C227 572 232 558 220 503L166 254C148 169 139 131 126 89C112 43 85 35 33 32L24 0H280L286 32C208 37 189 44 189 93C189 124 198 179 212 250L267 526H271L622 -8H655L732 396C747 477 762 532 770 556C785 600 798 616 862 619L870 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,28.569,3.132)"><path d="M556 236V289H56V236H556Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,34.129,3.132)"><path d="M722 297H451L442 267C561 257 561 253 547 182L531 98C521 44 465 24 390 24C228 24 130 134 130 296C130 482 252 628 465 628C592 628 657 579 656 458L692 461C695 540 699 605 702 631C664 642 590 667 492 667C203 667 24 502 24 285C24 93 170 -17 368 -17C464 -17 543 11 617 28C613 43 612 68 620 106L635 182C649 255 652 258 716 268L722 297Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,40.436,3.132)"><path d="M1013 650H775L768 618L793 615C853 608 859 601 837 545C792 433 708 266 639 131H637L537 639H503L251 132H249L190 552C183 602 190 607 235 614L262 618L269 650H25L18 618C92 610 95 608 107 525L184 -9H221L475 494H479L576 -9H613L884 526C928 607 934 609 1005 618L1013 650Z"></path></g></svg></span></td><td class="align_center">Communication cost</td></tr><tr><td class="align_left" colspan="4"><hr/></td></tr><tr><td class="align_left"><i>Our proposed scheme </i></td><td class="align_center">0.9963 ms</td><td class="align_center">1.6578 ms</td><td class="align_center">3776 bits</td></tr><tr><td class="align_left">Scheme [<a href="/journals/scn/2019/4836016/#B10" target="_blank">5</a>]</td><td class="align_center">1.0426 ms</td><td class="align_center">1.6578 ms</td><td class="align_center">3872 bits</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Running times of related operations (millisecond).</div>

Security and Communication Networks

tab3

Table 3

Table 3: Anonymous and Efficient Message Authentication Scheme for Smart Grid 