Information on Result #529813
There is no linear OA(277, 6924, F2, 14) (dual of [6924, 6847, 15]-code), because the Johnson bound shows that N ≤ 1419 664520 617405 868810 751438 181359 836476 639777 176840 022247 507843 407224 676530 966713 409370 828740 702507 864869 005660 766605 167889 359926 228873 820607 365112 516519 627409 973796 462417 512353 877924 515283 583936 157880 968532 478497 651213 485450 835255 200965 045069 925223 745526 133240 472839 240540 576076 939393 291109 645610 022975 650910 855950 932397 077721 157704 956420 563419 856509 690890 245709 913263 954390 956018 261288 428176 563258 047433 886618 762881 355818 502826 892227 940515 839915 833367 259021 210945 267659 964488 585212 252819 705576 956027 829377 433179 676159 303202 746087 765283 471904 228131 013315 951908 752360 257289 724082 433798 099746 500708 679784 050608 359272 051380 521655 518334 402026 522666 738330 052705 031287 664817 913108 886273 193124 147980 249208 590972 727561 813052 999931 033920 779566 295276 112517 763737 533183 908082 389948 845251 950622 102180 258087 484361 098012 901843 864747 450455 955157 875927 438272 712850 962215 948950 866887 469669 181896 120833 112608 344376 683849 858900 504070 307630 377382 666386 887647 595522 866651 393893 784700 334419 556763 127694 494309 657104 576364 804791 271835 101180 809127 270432 538327 432559 534035 022736 839658 591081 576557 582836 258565 090836 354662 037983 285195 573337 363057 188593 727756 088389 909643 215373 270176 988612 312035 887396 507065 980257 374315 161283 615208 159109 918981 514520 550544 789099 582206 902403 650054 222617 279396 598892 105932 786917 020556 759277 923461 451732 219773 198675 989520 302113 605272 051986 363390 683047 956542 669886 339632 944915 018296 054306 412034 949037 268097 015935 351826 424744 581127 955063 565744 215864 603456 452986 189517 836013 452023 921313 171476 089703 980091 063480 166553 363608 575016 544916 005933 868404 870469 392585 917888 333086 427873 488333 042379 598913 927043 349594 637511 203263 788851 543654 935990 436815 811405 088507 674162 665425 969209 446931 447049 846212 806103 920385 771777 583210 637000 325258 536304 952372 772392 071624 459929 760303 308944 858000 928064 187746 608948 840236 361784 229407 894182 394802 845513 616859 220787 010057 439049 954931 479794 465284 173751 913627 012339 484318 545801 402321 971073 234490 237063 300390 882822 237900 295792 013954 764023 848907 381268 853332 239696 101977 387389 112251 105908 813931 600490 497036 229654 828465 375815 568485 989022 029015 < 26847
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(278, 6925, F2, 15) (dual of [6925, 6847, 16]-code) | [i] | Truncation | |