Information on Result #529787
There is no linear OA(268, 7726, F2, 12) (dual of [7726, 7658, 13]-code), because the Johnson bound shows that N ≤ 19 387382 254756 869808 362629 380359 814210 855139 719687 954309 245640 240517 884475 353305 657056 150806 314577 191824 044648 789596 375811 388897 934436 255204 638610 398444 625292 596782 206819 133721 543167 036365 074137 141603 954065 789742 319973 709625 788127 741774 229645 717458 653133 338099 205801 900118 021877 114155 654112 464950 328814 498608 833477 306737 541473 891019 703981 322123 464261 359656 908342 063089 577429 874745 121154 527952 265739 191966 755320 193540 335129 184924 135047 306573 963267 810055 791426 218014 934820 463148 447159 402818 519605 200075 329581 412288 664370 856380 509411 476767 229306 027550 495477 412956 894409 413052 425494 313521 545360 653691 422135 146786 858081 553037 394482 767634 290894 314886 867754 990682 764757 159779 291022 701055 992757 499135 813675 701981 666127 337236 170155 191751 154472 081706 739182 186259 097374 709090 007314 419190 008750 655743 609054 528663 017087 558343 348673 698656 664539 058434 461866 237504 585514 951723 011019 660246 576547 385506 602208 738336 361840 680595 022249 235389 619477 708485 419679 261940 141611 742966 169770 688394 317417 489131 702340 810215 962944 437862 055882 576074 382224 198349 590752 134699 858421 389298 518975 797981 763751 217552 110158 142618 594139 222195 584362 506355 599810 982989 820072 802189 003246 397235 091986 144765 744090 512725 111020 922172 539302 562105 612830 060023 799386 871979 201084 911553 611484 558565 974389 516536 754245 548997 063405 162301 762191 389570 459447 675839 779805 754789 587459 911912 313127 120108 921493 725146 236340 461969 507064 860678 852757 805041 356305 380631 227609 395392 801022 910046 991117 270810 642649 543647 977616 159843 483841 396499 261617 370714 840264 927054 107589 050339 650983 721488 417399 932727 223515 208698 847274 566480 854373 096218 680275 526091 002645 114487 100415 069451 543956 889881 460698 847720 224555 239575 187012 040901 569942 961361 620040 073677 793751 068530 201061 320311 020976 284396 885240 200465 833719 153092 255246 643929 035513 803544 592721 891717 229553 143932 697739 629187 743242 467749 783911 043573 937325 678202 193510 491640 624180 177108 607378 571334 317021 555281 900650 906969 182114 846157 524412 760498 565528 356651 395223 100187 369689 869158 464065 886638 751172 893520 924919 369203 999964 478110 007311 232178 284046 173939 241988 405742 870125 393495 314758 121533 830881 533081 689930 286593 265589 341270 143931 724554 138244 571771 467674 447913 241718 474838 267806 262519 356966 207461 691912 642240 798247 815166 576289 424071 249342 274025 416403 708521 359971 989372 453421 457736 247363 475446 261480 545151 351834 421319 280949 352049 413237 < 27658
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(269, 7727, F2, 13) (dual of [7727, 7658, 14]-code) | [i] | Truncation | |