BlockREV: Blockchain-Enabled Multi-Controller Rule Enforcement Verification in SDN

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Scheme</td><td class="align_center">Aggregate signature length</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left">Shim [<a href="/journals/scn/2022/7294638/#B37" target="_blank">37</a>]</td><td class="align_center"><span style="width: 32.5176ptpx;"><svg height="12.5886pt" id="M694" style="vertical-align:-3.30027pt" version="1.1" viewbox="-0.0498162 -9.28833 32.5176 12.5886" width="32.5176pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M285 378C315 398 338 416 353 432C373 451 384 474 384 503C384 579 325 635 236 635H235C182 635 136 610 108 579L65 516L85 496C110 533 150 575 205 575C258 575 300 543 300 481C300 407 232 369 141 339L147 310C163 315 188 321 211 321C268 321 338 284 338 192C338 94 288 40 217 40C160 40 119 68 93 91C85 98 77 97 69 91C60 84 47 71 46 58C44 46 48 35 62 22C75 10 116 -12 162 -12C234 -12 424 62 424 224C424 297 373 359 285 376V378Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.738,0)"><path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.264,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g><g transform="matrix(.013,0,0,-0.013,21.762,0)"><path d="M270 0V32C208 38 203 43 203 110V703C146 688 72 674 15 667V637C70 630 75 628 75 567V110C75 45 70 41 10 32V0H270Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,25.39,3.132)"><path d="M664 534L634 568C565 641 475 676 375 676C172 676 45 530 45 333C45 141 176 -13 374 -13C478 -13 572 30 655 90V329H358V285H489V56C462 37 413 31 380 31C319 31 256 44 213 91V579C254 614 326 632 379 632C490 632 563 586 632 502L664 534ZM611 118C584 102 562 78 533 66V285H611V118ZM169 119C118 180 89 253 89 333C89 410 118 492 169 551V119Z"></path></g></svg></span></td></tr><tr><td class="align_left">Gao et al. [<a href="/journals/scn/2022/7294638/#B35" target="_blank">35</a>]</td><td class="align_center"><span style="width: 52.2516ptpx;"><svg height="12.5886pt" id="M695" style="vertical-align:-3.30027pt" version="1.1" viewbox="-0.0498162 -9.28833 52.2516 12.5886" width="52.2516pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.738,0)"><path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.17,0)"><path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,30.706,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,36.946,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g><g transform="matrix(.013,0,0,-0.013,41.444,0)"><path d="M270 0V32C208 38 203 43 203 110V703C146 688 72 674 15 667V637C70 630 75 628 75 567V110C75 45 70 41 10 32V0H270Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,45.072,3.132)"><path d="M664 534L634 568C565 641 475 676 375 676C172 676 45 530 45 333C45 141 176 -13 374 -13C478 -13 572 30 655 90V329H358V285H489V56C462 37 413 31 380 31C319 31 256 44 213 91V579C254 614 326 632 379 632C490 632 563 586 632 502L664 534ZM611 118C584 102 562 78 533 66V285H611V118ZM169 119C118 180 89 253 89 333C89 410 118 492 169 551V119Z"></path></g></svg></span></td></tr><tr><td class="align_left">Our proposed scheme</td><td class="align_center"><span style="width: 45.9882ptpx;"><svg height="12.5886pt" id="M696" style="vertical-align:-3.30027pt" version="1.1" viewbox="-0.0498162 -9.28833 45.9882 12.5886" width="45.9882pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path></g><g transform="matrix(.013,0,0,-0.013,13.93,0)"><path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,24.466,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,30.706,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g><g transform="matrix(.013,0,0,-0.013,35.204,0)"><path d="M270 0V32C208 38 203 43 203 110V703C146 688 72 674 15 667V637C70 630 75 628 75 567V110C75 45 70 41 10 32V0H270Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,38.832,3.132)"><path d="M664 534L634 568C565 641 475 676 375 676C172 676 45 530 45 333C45 141 176 -13 374 -13C478 -13 572 30 655 90V329H358V285H489V56C462 37 413 31 380 31C319 31 256 44 213 91V579C254 614 326 632 379 632C490 632 563 586 632 502L664 534ZM611 118C584 102 562 78 533 66V285H611V118ZM169 119C118 180 89 253 89 333C89 410 118 492 169 551V119Z"></path></g></svg></span></td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The comparison of communication cost.</div>

Security and Communication Networks

tab3

Table 3

Table 3: BlockREV: Blockchain-Enabled Multi-Controller Rule Enforcement Verification in SDN 