Information on Result #529980

There is no linear OA(2113, 6077, F2, 22) (dual of [6077, 5964, 23]-code), because the Johnson bound shows that N ≤ 22 007633 280057 332527 468352 394773 098563 266357 855598 726440 980076 736851 200668 901992 767609 419823 580643 075588 431354 701233 737474 248360 404723 254895 716990 619623 475710 488399 356809 033831 554955 065581 861183 537950 745130 229431 431501 387668 379292 413487 827356 776906 320438 154790 118161 478002 659785 959442 204460 290810 695960 924117 626982 781325 367587 558440 817255 586971 601949 772402 262906 315269 450663 262512 629460 250518 301788 967489 052033 871453 251405 369369 035355 113690 645351 560188 740565 189550 839126 529747 189706 751030 868074 140511 113528 517615 831683 806435 997345 239718 854174 804034 599245 571711 985020 817020 352672 292046 084832 172919 528788 859855 635443 602157 210479 951961 878557 998756 990304 565245 673738 267201 754285 856280 649669 330552 887374 942422 226959 846236 763762 301190 682845 559009 875623 905850 361259 781348 240631 293126 985915 545248 390979 415985 744251 233287 047180 360519 982644 100986 822741 756323 058756 356900 069422 478124 235999 610337 940013 064407 676902 956204 858280 540957 430479 463234 430321 086803 436509 799638 180222 525980 278652 181410 786244 929202 462616 613477 485027 970510 778820 806072 537604 661632 763767 171040 784090 946914 954101 852419 413485 243916 064932 444454 697024 645217 517639 297187 841102 457305 929361 243904 094395 765190 589320 906348 183682 077061 832116 222022 140913 873468 156691 484246 339584 003715 028785 786749 981056 880723 078438 141752 932780 796438 677635 160921 108274 180617 315987 760140 249339 976423 093666 797127 935823 618136 847225 169386 996706 674575 664466 430213 148900 298848 741648 089354 028217 325038 271111 860852 756517 878024 780505 738934 227384 292913 897421 115494 676583 661036 864121 670033 916694 661110 434119 824668 086667 673567 716803 205478 371300 417990 880304 091925 862791 376412 602595 750412 714691 379109 560295 399479 249613 705004 734359 863111 129672 978028 800973 325121 024936 189321 027476 685193 772805 952268 390531 897269 993419 778903 604541 732760 274627 433447 460543 759596 426326 883450 706119 921367 < 25964

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(2114, 6078, F2, 23) (dual of [6078, 5964, 24]-code) [i]Truncation