Information on Result #2156456
There is no linear OA(258, 7042, F2, 11) (dual of [7042, 6984, 12]-code), because 1 times truncation would yield linear OA(257, 7041, F2, 10) (dual of [7041, 6984, 11]-code), but
- the Johnson bound shows that N ≤ 247 326351 222414 432515 809312 765395 036236 824980 000050 504403 798135 378801 166840 828269 342697 852608 897611 984892 153697 591711 416657 460467 240567 058191 494954 366021 260654 267919 842743 959426 712211 312809 720072 645796 818634 720760 938653 582751 669748 580522 437629 834270 305502 470960 684326 534475 722473 575424 596660 715507 275579 960147 879903 109386 975753 175820 940909 061829 365158 071217 941132 860071 725673 640724 971859 352037 265425 155312 002832 378738 396277 033871 622301 808831 267654 944422 686347 798987 505523 621869 162395 849384 813231 463543 946607 072083 393805 289639 982688 896370 050531 489603 563599 706776 833513 778905 238446 975037 455601 483527 173225 053057 392481 080859 943712 534301 053321 225113 171906 071757 100399 206970 799709 012740 392760 982711 466034 452899 652057 888296 404880 715795 738432 794823 107613 062158 823231 434332 104283 348899 645952 080237 520590 357086 317891 378051 077607 326480 607636 101295 919658 100656 440760 971329 828643 642433 511263 589506 854486 332432 304124 141386 447085 339356 503448 116453 287483 414870 689057 699500 119811 392589 454965 717550 926474 899881 873454 175731 582706 020794 932668 286296 514567 890463 070118 986304 276411 466814 715565 597417 108868 410824 540931 668930 797241 630459 455954 392128 933573 101709 426814 138888 012136 191471 456839 568993 763577 018467 690346 956890 130737 485582 003588 940466 970432 350190 813953 009849 105433 907872 787874 278987 501196 695792 056917 948401 673136 946926 112983 715881 528309 471409 198262 380242 303412 346353 064317 049868 300744 624570 612501 129489 433444 421489 055495 706288 633284 536049 055903 844671 562335 031602 690147 519536 895358 218114 572974 118062 801239 811919 774084 937232 269801 586179 588653 143340 062222 486821 349520 152435 302461 893336 258648 746245 085629 956942 057781 514323 188402 077600 037229 615907 440218 548038 674552 475759 809734 721232 726700 065770 880966 482753 330456 911889 081599 229839 889779 512047 838004 345737 380825 435856 280439 080079 600549 237523 100736 787364 127452 253259 945376 814523 824421 490005 845595 046407 113412 315966 711251 521445 749414 966535 670749 263694 948222 455801 834570 404645 417749 360887 708990 513274 412399 289985 345134 174329 625880 290097 471508 599195 946562 026606 242853 205739 727969 148938 523551 914072 071225 820830 043403 306167 700105 974528 656888 904743 284183 227095 381850 680858 875637 < 26984 [i]
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
None.