BAS: The Biphase Authentication Scheme for Wireless Sensor Networks

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Energy consumption<br/><svg height="13.9769pt" id="M100" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 118.442 13.9769" width="118.442pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.943,3.132)"><path d="M601 496C596 555 591 627 591 675H567C551 656 544 650 516 650H120C91 650 79 651 64 675H41C38 619 34 555 29 492H63C75 537 83 566 96 582C110 604 128 612 207 612H272V126C272 46 264 38 170 33V0H464V33C368 38 359 48 359 126V612H430C502 612 520 605 535 582C547 566 556 541 567 492L601 496Z" id="g58-82"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.79,3.132)"><path d="M262 451C169 451 38 375 38 210C38 98 121 -12 261 -12C360 -12 481 64 481 227C481 351 386 451 262 451ZM249 414C337 414 385 320 385 204C385 70 333 25 272 25C189 25 134 117 134 241C134 355 189 414 249 414Z" id="g58-109"></path></g><g transform="matrix(.0091,0,0,-0.0091,17.412,3.132)"><path d="M303 37L293 66C280 59 256 49 231 49S173 63 173 143V396H281C294 404 298 428 287 439H173V575L158 577L92 509V439H46L17 408L22 396H92V107C92 27 128 -12 192 -12C203 -12 218 -9 237 2L303 37Z" id="g58-114"></path></g><g transform="matrix(.013,0,0,-0.013,24.431,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path></g><g transform="matrix(.013,0,0,-0.013,35.694,0)"><path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path></g><g transform="matrix(.0091,0,0,-0.0091,43.637,3.132)"><path d="M655 676H628C608 656 600 650 571 650H156C118 650 114 651 102 676H77C63 615 45 548 24 485L60 486C81 531 97 562 114 580C134 603 148 611 252 611H308L217 127C201 41 196 38 105 32L98 0H384L393 32C300 38 288 41 304 127L393 611H466C553 611 571 604 582 580C592 559 597 530 595 485L630 489C636 548 645 624 655 676Z" id="g50-85"></path></g><g transform="matrix(.0065,0,0,-0.0065,48.733,5.233)"><path d="M553 402C553 427 533 454 505 454C451 454 403 404 315 288L294 345C271 408 247 454 221 454C183 454 139 406 91 350L112 324C156 369 170 379 185 379C194 379 201 363 218 321L260 216C184 114 147 72 118 72C105 72 100 76 93 82S82 91 71 91C50 91 25 61 25 41C25 9 54 -12 79 -12C130 -12 183 29 277 173L317 66C336 15 366 -12 392 -12C429 -12 485 37 523 99L501 124C473 91 446 63 427 63C410 63 393 91 369 147L328 244C351 275 380 307 404 333S453 381 468 381C476 381 487 373 495 365C500 360 506 357 514 357C529 357 553 380 553 402Z" id="g176-121"></path></g><g transform="matrix(.013,0,0,-0.013,56.425,0)"><path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z" id="g117-36"></path></g><g transform="matrix(.013,0,0,-0.013,66.962,0)"><path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 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124C473 91 446 63 427 63C410 63 393 91 369 147L328 244C351 275 380 307 404 333S453 381 468 381C476 381 487 373 495 365C500 360 506 357 514 357C529 357 553 380 553 402Z" id="g176-121"></path></g><g transform="matrix(.013,0,0,-0.013,88.341,0)"><path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z" id="g117-36"></path></g><g transform="matrix(.013,0,0,-0.013,98.878,0)"><path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path></g><g transform="matrix(.0091,0,0,-0.0091,106.821,3.132)"><path d="M771 650H519L511 619L537 615C578 610 579 600 539 564C444 476 379 428 336 396C312 378 281 357 252 347L283 514C300 605 304 610 388 619L395 650H134L127 619C212 610 216 605 199 514L130 140C112 41 103 38 28 31L18 0H281L288 31C201 40 198 41 216 140L246 311C274 328 289 324 315 284C393 167 458 86 528 0H686L695 31C635 37 612 45 570 97C521 156 420 285 361 367L596 549C663 601 684 609 764 620L771 650Z" id="g50-76"></path></g><g transform="matrix(.0065,0,0,-0.0065,113.345,5.233)"><path d="M553 402C553 427 533 454 505 454C451 454 403 404 315 288L294 345C271 408 247 454 221 454C183 454 139 406 91 350L112 324C156 369 170 379 185 379C194 379 201 363 218 321L260 216C184 114 147 72 118 72C105 72 100 76 93 82S82 91 71 91C50 91 25 61 25 41C25 9 54 -12 79 -12C130 -12 183 29 277 173L317 66C336 15 366 -12 392 -12C429 -12 485 37 523 99L501 124C473 91 446 63 427 63C410 63 393 91 369 147L328 244C351 275 380 307 404 333S453 381 468 381C476 381 487 373 495 365C500 360 506 357 514 357C529 357 553 380 553 402Z" id="g176-121"></path></g></svg></td><td class="align_center">SPIN</td><td class="align_center">BAS</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left"><span style="width: 17.9548ptpx;"><svg height="13.9769pt" id="M101" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 17.9548 13.9769" width="17.9548pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.943,3.132)"><path d="M655 676H628C608 656 600 650 571 650H156C118 650 114 651 102 676H77C63 615 45 548 24 485L60 486C81 531 97 562 114 580C134 603 148 611 252 611H308L217 127C201 41 196 38 105 32L98 0H384L393 32C300 38 288 41 304 127L393 611H466C553 611 571 604 582 580C592 559 597 530 595 485L630 489C636 548 645 624 655 676Z" id="g50-85"></path></g><g transform="matrix(.0065,0,0,-0.0065,13.039,5.233)"><path d="M553 402C553 427 533 454 505 454C451 454 403 404 315 288L294 345C271 408 247 454 221 454C183 454 139 406 91 350L112 324C156 369 170 379 185 379C194 379 201 363 218 321L260 216C184 114 147 72 118 72C105 72 100 76 93 82S82 91 71 91C50 91 25 61 25 41C25 9 54 -12 79 -12C130 -12 183 29 277 173L317 66C336 15 366 -12 392 -12C429 -12 485 37 523 99L501 124C473 91 446 63 427 63C410 63 393 91 369 147L328 244C351 275 380 307 404 333S453 381 468 381C476 381 487 373 495 365C500 360 506 357 514 357C529 357 553 380 553 402Z" id="g176-121"></path></g></svg></span></td><td class="align_center">2,340 <i>μ</i>J</td><td class="align_center">130 <i>μ</i>J</td></tr><tr><td class="align_left"><span style="width: 18.6033ptpx;"><svg height="13.9769pt" id="M102" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 18.6033 13.9769" width="18.6033pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.943,3.132)"><path d="M636 22C611 29 589 38 560 74C536 104 518 134 495 173L430 300C518 328 592 392 592 492C592 555 563 594 528 618C491 643 435 650 377 650H140L131 618C222 610 223 601 208 518L137 136C121 43 116 40 27 32L18 0H295L300 32C212 40 206 42 223 138L248 279H296C334 279 350 272 369 230C393 174 413 140 441 94C482 24 523 1 626 -8L636 22ZM497 480C497 422 468 374 417 343C387 324 353 315 304 315H255L298 556C303 583 309 598 319 603C331 610 348 613 367 613C448 613 497 573 497 480Z" id="g50-83"></path></g><g transform="matrix(.0065,0,0,-0.0065,13.685,5.233)"><path d="M553 402C553 427 533 454 505 454C451 454 403 404 315 288L294 345C271 408 247 454 221 454C183 454 139 406 91 350L112 324C156 369 170 379 185 379C194 379 201 363 218 321L260 216C184 114 147 72 118 72C105 72 100 76 93 82S82 91 71 91C50 91 25 61 25 41C25 9 54 -12 79 -12C130 -12 183 29 277 173L317 66C336 15 366 -12 392 -12C429 -12 485 37 523 99L501 124C473 91 446 63 427 63C410 63 393 91 369 147L328 244C351 275 380 307 404 333S453 381 468 381C476 381 487 373 495 365C500 360 506 357 514 357C529 357 553 380 553 402Z" id="g176-121"></path></g></svg></span></td><td class="align_center">2,205 <i>μ</i>J</td><td class="align_center">220.5 <i>μ</i>J</td></tr><tr><td class="align_left"><span style="width: 19.3889ptpx;"><svg height="13.9769pt" id="M103" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 19.3889 13.9769" width="19.3889pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.943,3.132)"><path d="M771 650H519L511 619L537 615C578 610 579 600 539 564C444 476 379 428 336 396C312 378 281 357 252 347L283 514C300 605 304 610 388 619L395 650H134L127 619C212 610 216 605 199 514L130 140C112 41 103 38 28 31L18 0H281L288 31C201 40 198 41 216 140L246 311C274 328 289 324 315 284C393 167 458 86 528 0H686L695 31C635 37 612 45 570 97C521 156 420 285 361 367L596 549C663 601 684 609 764 620L771 650Z" id="g50-76"></path></g><g transform="matrix(.0065,0,0,-0.0065,14.468,5.233)"><path d="M553 402C553 427 533 454 505 454C451 454 403 404 315 288L294 345C271 408 247 454 221 454C183 454 139 406 91 350L112 324C156 369 170 379 185 379C194 379 201 363 218 321L260 216C184 114 147 72 118 72C105 72 100 76 93 82S82 91 71 91C50 91 25 61 25 41C25 9 54 -12 79 -12C130 -12 183 29 277 173L317 66C336 15 366 -12 392 -12C429 -12 485 37 523 99L501 124C473 91 446 63 427 63C410 63 393 91 369 147L328 244C351 275 380 307 404 333S453 381 468 381C476 381 487 373 495 365C500 360 506 357 514 357C529 357 553 380 553 402Z" id="g176-121"></path></g></svg></span></td><td class="align_center">0</td><td class="align_center">0.73 <i>μ</i>J</td></tr><tr><td class="align_left"><span style="width: 20.9289ptpx;"><svg height="11.9316pt" id="M104" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.6359 20.9289 11.9316" width="20.9289pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.943,3.132)"><path d="M601 496C596 555 591 627 591 675H567C551 656 544 650 516 650H120C91 650 79 651 64 675H41C38 619 34 555 29 492H63C75 537 83 566 96 582C110 604 128 612 207 612H272V126C272 46 264 38 170 33V0H464V33C368 38 359 48 359 126V612H430C502 612 520 605 535 582C547 566 556 541 567 492L601 496Z" id="g58-82"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.79,3.132)"><path d="M262 451C169 451 38 375 38 210C38 98 121 -12 261 -12C360 -12 481 64 481 227C481 351 386 451 262 451ZM249 414C337 414 385 320 385 204C385 70 333 25 272 25C189 25 134 117 134 241C134 355 189 414 249 414Z" id="g58-109"></path></g><g transform="matrix(.0091,0,0,-0.0091,17.412,3.132)"><path d="M303 37L293 66C280 59 256 49 231 49S173 63 173 143V396H281C294 404 298 428 287 439H173V575L158 577L92 509V439H46L17 408L22 396H92V107C92 27 128 -12 192 -12C203 -12 218 -9 237 2L303 37Z" id="g58-114"></path></g></svg></span></td><td class="align_center">4,545 <i>μ</i>J</td><td class="align_center">351.23 <i>μ</i>J</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Energy consumption comparison between SPIN and BAS.

Security and Communication Networks

tab1

Table 1

Table 1: BAS: The Biphase Authentication Scheme for Wireless Sensor Networks 