Information on Result #530092
There is no linear OA(2137, 8434, F2, 26) (dual of [8434, 8297, 27]-code), because the Johnson bound shows that N ≤ 44 239890 663701 373115 921084 745639 755078 170619 404983 685771 851435 409564 795170 939958 288945 949555 099017 237180 288223 373691 727718 149758 890539 584915 169166 886985 879609 122485 849946 869098 046695 552646 019737 924503 560081 680469 047694 720366 479786 134812 467331 553024 841551 614388 784239 151438 978724 476679 517871 978437 601219 930141 068264 799339 796658 508147 933027 215488 136051 679077 309026 552762 138346 625844 770767 576045 841250 805846 580998 774778 073669 234995 526924 746674 910905 084114 218286 466019 944148 711644 391954 613271 959562 765251 453998 290250 589604 177399 365031 959407 081285 618833 457227 428327 468764 372507 364883 574436 934652 069236 871373 065753 887692 092366 990802 266230 786101 021800 020508 564662 287808 111517 446875 573243 452118 534714 500483 645416 084720 244402 190722 773002 251280 671734 061870 646225 043472 538736 212623 133477 618105 300091 450636 070925 016514 864322 103238 358972 741876 903762 055927 177377 638208 492287 254811 422189 219805 886967 106830 547794 430655 806246 258791 739004 297922 425188 628536 789884 117564 020095 331803 338390 413408 945067 531321 169061 616934 146954 512353 505418 175189 022663 966384 929310 917257 889297 652142 780098 268703 641272 254360 290252 868394 771476 221197 174058 044076 206524 099800 266383 713510 803400 953551 727264 676499 605479 916503 292853 519639 793943 096882 619849 730902 218906 978842 317658 371581 441848 935102 778608 801766 292215 364588 622597 743145 205431 645930 760243 078677 009790 739605 307597 901979 974970 958309 892778 969669 071639 530523 420379 557792 438365 143865 672385 485453 411806 198318 461871 451752 214987 679670 928726 907171 942655 334940 410269 390444 198491 493048 286043 689635 103010 817470 591458 838504 160226 583486 553713 577571 509844 154028 210257 582565 738414 985486 991174 125346 247557 904304 270579 892232 762241 346715 147641 263329 927798 749244 892814 276887 646248 731980 749823 128341 104072 210668 671400 451253 412688 816925 371004 393688 193674 820771 679006 453473 999213 264785 041488 106513 619375 939177 636266 634778 620714 686944 459246 403548 599795 663364 558725 271721 831452 995639 397031 021330 184442 427189 651369 143916 311129 914641 616134 187235 550188 465710 860897 940345 616672 844018 436528 248350 709416 612517 184464 576567 752216 109227 944810 509268 937942 886172 620098 392489 625746 548865 026798 938032 191537 655983 652168 019131 930487 234992 529839 984552 714185 741640 687937 105247 579193 932391 041132 716789 017911 716660 409818 177776 250429 024500 820248 962697 345090 545160 623786 755412 157093 031295 463162 342456 087483 243242 415549 116896 562267 460553 418702 016757 642833 644189 907363 005372 756438 940577 311966 617083 643212 819521 541050 653362 091319 118916 085812 610374 840627 655141 465721 063279 522669 375079 862462 908643 978180 156742 104074 471485 309685 229058 < 28297
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(2138, 8435, F2, 27) (dual of [8435, 8297, 28]-code) | [i] | Truncation | |