Information on Result #529884
There is no linear OA(296, 6744, F2, 18) (dual of [6744, 6648, 19]-code), because the Johnson bound shows that N ≤ 1766 900330 906873 600404 103068 054980 500770 495380 235057 704865 269370 502346 952771 926061 296244 879811 984339 374087 526372 015329 987160 515593 958868 551644 061924 780405 536921 218177 520518 788580 349623 971869 685984 366095 252944 326551 713988 614537 573124 628745 864213 174949 408172 865981 531023 030969 522008 488199 988646 714790 515587 078348 724043 030382 196804 160137 661520 357908 566758 910618 259689 935472 189016 707095 308825 369036 717673 869112 557134 536144 996230 632384 650849 254134 545758 569529 825395 183152 406066 519914 902052 617518 777866 999045 574045 787402 194604 425442 346675 387877 521113 473414 694567 214830 912643 968604 000019 682770 420095 397299 449283 900349 676150 630672 780783 400843 727176 539019 409230 691734 362064 341372 386743 723273 800052 143623 470057 484930 422671 625233 405219 688343 506315 729563 751522 329054 985083 926447 049855 371370 683335 143321 961144 608376 558801 172732 592444 362467 477491 459837 904580 055436 789895 627780 518019 260785 759793 487707 986885 599552 037228 062505 960132 014953 201907 079278 732108 412974 910751 001082 152566 612746 358000 571199 198746 967512 837277 472344 024049 519205 910402 545908 614117 040724 770016 367279 909459 882418 693075 289964 097636 182439 679891 683218 021509 360477 556674 867345 319495 509557 477701 704097 724469 055367 441289 542759 357682 223324 212137 027273 032988 664050 957968 902204 484323 920557 242513 567254 413018 569299 052608 840654 056481 572269 259866 502327 007340 305480 242841 191401 303540 865980 341729 055587 888492 981346 000008 265760 764623 471764 481911 182782 379447 148724 084141 169714 134761 553645 908145 657839 304845 543073 325847 937509 025868 605054 940716 107969 465454 606842 637461 436504 633839 184114 494695 775276 971503 093334 423336 364283 717285 384753 108385 532730 394741 832766 403451 229000 193206 297856 019887 401916 963179 244109 306300 253076 343047 232304 072442 353600 598038 771059 445185 792812 963505 805098 067350 760400 614974 266961 025010 251672 698086 223780 458402 931429 135923 239409 793260 999127 509669 527078 248189 984744 562581 673873 206044 559406 366309 447498 693589 623043 298028 424918 948614 901221 978079 083754 617940 098429 355874 428472 086411 645286 801813 671390 835166 644317 836075 348232 628574 488327 713456 768069 < 26648
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(297, 6745, F2, 19) (dual of [6745, 6648, 20]-code) | [i] | Truncation | |