Information on Result #529983
There is no linear OA(2118, 8326, F2, 22) (dual of [8326, 8208, 23]-code), because the Johnson bound shows that N ≤ 71420 197063 938612 610076 499294 027077 139703 354487 430572 043078 531683 320262 558571 864514 367286 168142 254510 636808 440790 947086 703711 566849 825094 397794 586758 266339 704743 165088 476336 620536 169765 966704 315472 701166 392860 480327 492747 824671 481765 481591 793300 624633 870215 499871 325929 930876 995595 326127 693176 515999 628609 174645 161488 779738 442906 619855 881703 617397 699207 475893 336702 078581 863424 081500 442718 146322 476783 673683 097034 199845 992842 364141 459205 802097 086157 510768 371457 000203 616775 750450 106489 872256 789377 837418 045142 480727 206415 529485 224535 131498 593382 875243 263714 392613 336648 881180 725088 831351 802767 785875 595554 843899 860741 894849 146940 046401 582252 735024 315603 300453 386944 565507 828822 951777 771112 170239 225230 069552 241471 495564 160041 279456 445691 130110 691759 737430 494786 515812 523154 870328 138795 439575 046062 697119 595090 080051 077458 875805 288392 032117 219565 701918 088017 619797 537236 797210 070880 190255 404345 638778 319840 674318 741984 754864 533422 817407 128563 388219 810468 871154 607812 154040 527529 622780 534336 614927 427428 085336 475840 149572 806692 704254 981768 637354 092450 333608 507465 432618 896161 482589 917923 169732 008089 154325 703563 221105 297309 934089 624087 501473 020809 359733 223183 425148 976850 664855 238737 434871 764576 616793 471423 015040 897313 776593 384613 437517 612562 887512 693065 483555 430189 813689 010349 460120 143927 046327 565238 055425 523976 520082 205352 283385 819994 272898 409353 211483 697616 397535 190028 911618 871248 890372 440686 054297 632260 731260 520467 051659 601468 756502 128868 749452 678744 811352 881882 658748 813375 328099 790672 380150 984487 031504 010250 652186 226619 335970 597205 518520 302972 335622 585370 412119 836303 334903 903004 639912 752707 225020 152177 282192 053769 271685 877059 649037 998420 556923 735751 768384 519136 214030 681962 452925 274495 425211 794312 558777 540599 748111 403682 634493 236182 839569 839090 347451 526469 983423 509756 054043 153428 622575 233282 288254 903442 182440 971019 931945 403905 475289 071206 471086 258740 106348 962642 256429 481275 673944 340928 366115 916750 269995 063787 929262 265612 102150 296933 870733 874034 427779 306546 622387 234584 732072 242988 897507 537827 322837 199012 018775 067407 656271 532905 806187 574576 097356 621356 642096 168331 296756 862003 764294 786782 717085 918523 123058 624022 782632 371717 004423 693184 538268 995774 106027 802716 424537 637679 802709 222571 160723 837407 724044 121056 230155 172041 345165 756431 440137 260636 402740 953345 974798 848392 768511 332388 770252 056792 471826 623973 811596 973366 275753 315740 474133 086596 448554 243981 019879 457348 866007 576628 469359 873792 189719 469568 682788 895066 714342 474439 560136 768760 236847 030059 312228 < 28208
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2119, 8327, F2, 23) (dual of [8327, 8208, 24]-code) | [i] | Truncation | |