Information on Result #530152

There is no linear OA(2146, 8337, F2, 28) (dual of [8337, 8191, 29]-code), because the Johnson bound shows that N ≤ 545355 545080 650935 191810 614108 867767 258572 050066 976857 372882 525336 968794 207844 200198 919901 816293 426485 492068 403634 661389 545239 838408 134745 760795 422981 300371 852968 129053 808758 854122 887749 031717 424083 879577 934755 302870 943133 413384 933377 753479 227256 533468 922494 153817 852941 173049 783237 694728 930372 439960 087633 181992 232500 985907 165615 240880 526771 938688 984531 242704 262182 676820 122307 757444 778807 750694 307144 792764 950883 775259 616930 522000 063565 557162 487296 623528 950494 272003 389617 742215 630195 865513 229635 198890 277452 745855 218326 862439 026202 009134 990915 349813 193281 720306 969301 973402 431987 165272 758070 101819 122454 386337 767531 269067 586973 686620 713567 376538 699325 414307 053570 093547 770219 653210 660272 343415 533564 265817 208284 201690 447427 652040 004324 039159 012110 722662 766561 585655 136416 140147 488171 257879 927224 362700 853670 140025 728330 127844 155475 779775 024231 640912 151247 402601 068478 565529 107407 037843 859603 672738 787447 097219 067969 375794 250378 271507 606006 557644 321177 449972 520695 616582 057353 984751 422110 295165 987104 455654 846371 980563 268567 496622 518846 595662 951258 325450 830907 759627 861151 215109 510323 508460 325902 771575 488075 178517 467748 799442 599123 833512 698660 339002 318791 607449 265616 258581 279812 605122 978004 234875 318374 715501 617325 539449 532691 478174 686450 856122 439697 572834 834288 110358 183700 312267 957684 773079 439032 641345 088919 559857 205875 316435 593302 422143 428993 281268 273655 687985 822215 226337 349516 925333 319050 487411 244091 406342 079765 597054 951465 090458 153584 449506 063918 537369 457193 349657 837691 093338 365763 214308 198139 097524 676434 879589 426591 211153 837689 175409 428563 907971 582031 488818 794198 545698 469794 902847 934359 272099 867671 730864 036046 409876 011746 130233 867397 641791 738655 274587 828036 541857 362165 877784 688050 773792 122230 789846 117569 407672 090785 362968 143745 367376 816942 756855 717535 792757 715878 106728 961209 892362 779513 115007 836270 780188 456539 849769 765769 223490 827220 780582 012385 688815 929858 416297 609617 020173 836222 467018 288493 923011 196705 226867 221887 188637 582458 999856 161632 520775 910027 698593 653452 867766 243243 179005 322396 692598 709343 245125 897207 871171 614354 047069 046039 995048 041335 685832 962943 385359 391316 499835 142195 650856 603925 479814 414312 142525 226071 105026 428077 092214 008161 302542 379620 570726 700689 333450 440881 965357 103268 046180 388114 271641 148942 203127 398560 705990 571011 763274 753424 958143 367183 793063 588150 292402 941936 413742 166884 386073 017607 948952 577255 121427 742429 538975 023006 703035 495634 776305 163567 744477 217838 563722 423729 434901 236977 919331 277555 149163 574486 256351 714761 < 28191

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:

ResultThis
result
only
Method
1No linear OA(2147, 8338, F2, 29) (dual of [8338, 8191, 30]-code) [i]Truncation