Information on Result #2157358
There is no linear OA(2113, 10658, F2, 21) (dual of [10658, 10545, 22]-code), because 1 times truncation would yield linear OA(2112, 10657, F2, 20) (dual of [10657, 10545, 21]-code), but
- the Johnson bound shows that N ≤ 2 296656 662699 543231 369824 872496 507766 093014 822863 497308 313666 300181 272672 329685 490606 903200 565475 047778 897481 952025 224185 993712 657341 787586 408600 662285 071290 289904 468519 239991 966035 756760 412543 820190 969954 343348 058934 000606 466225 452808 643865 500173 451837 560587 920577 747248 014422 957849 900958 552461 613789 990211 869930 538856 118331 020245 269353 901278 963001 127676 730395 188700 091094 383180 642840 166435 768991 511551 448879 764992 563783 791443 312443 033890 594732 162151 100536 702910 974487 739304 877290 524481 410398 744269 241626 488404 192354 655900 487346 620953 079711 524308 507562 248199 929420 255438 216848 598071 379772 329755 358562 523317 927912 197798 592893 246409 003686 846965 007341 523428 119353 815652 244297 221577 017375 987007 347148 940337 270140 032450 486918 379561 228366 116294 394439 741650 189794 767534 508966 850941 686289 529501 127460 477346 474710 732859 617814 206447 364745 505653 640273 988981 011522 626720 602117 748121 901757 932632 586853 211449 310678 176287 784547 709262 955116 953899 245001 025147 172152 997740 148728 920712 365847 044346 686484 324032 415557 183254 528713 448219 152711 968375 729485 374143 961855 542508 128083 127258 428291 579740 218457 742762 643382 025158 782260 783608 226811 488595 152300 101975 089016 965938 786571 335169 927535 091007 888579 029120 480698 115299 849397 603580 851856 055489 283180 439474 998698 957620 623367 486728 187495 411159 454930 026617 543834 024165 906262 965671 731190 661616 414047 542770 677187 783702 360631 976270 788954 983172 552976 145781 487965 275461 720139 075529 712368 180814 458855 951956 861335 879321 794339 578744 244134 215276 048944 682101 435615 150810 240295 527248 066055 673333 858518 903872 555408 573626 640512 344249 661423 160344 136043 807111 166607 072139 635704 758078 802127 302934 988111 836982 875319 818374 334627 254995 331833 315245 888588 692854 575226 913506 799689 349488 562305 301778 710194 403113 863806 537309 187270 052179 840209 088450 284391 357397 872377 605699 213183 704976 909332 203181 096870 044667 063726 203487 186375 447209 220574 510748 910397 154878 051589 803149 303788 557474 469036 008990 311093 538921 110427 925074 340420 622835 689055 774454 670650 022921 483745 828207 824960 021663 934373 180805 271679 025607 663211 837263 590674 061171 470348 100575 127572 142350 680502 797656 176366 935698 522098 148801 805850 186936 558149 111972 356138 984250 263997 168400 904795 756488 297031 249485 174872 750387 467542 901223 707012 705708 539562 454882 807543 063625 588298 162031 069202 852707 428089 838461 298448 780354 168495 937105 031807 304183 254767 095636 081084 996119 452938 461828 313439 475612 680207 094998 113499 572588 315393 135814 149209 766165 193668 317274 904083 065497 036086 755386 137356 715294 737086 948120 215832 113228 538454 323711 143030 117260 066610 659478 990305 595806 820639 731720 595072 728367 105331 406432 724820 567581 497220 960184 628192 366573 881092 410590 119548 468211 660954 030298 741000 014155 295339 419464 192731 578063 408259 952685 891648 829437 286066 657701 982358 164876 336500 976321 327375 437507 738823 577256 628646 041758 247362 582837 045759 472925 944622 389740 135129 056343 978198 796429 656090 526249 928654 940913 462612 551152 504262 578439 752789 841605 128093 920699 683636 090641 915270 547664 512226 078557 248432 275615 718993 328339 692628 298466 523007 145811 106275 702757 928960 325291 552458 601629 568541 869255 964387 286793 176889 543628 019570 294906 602229 430234 834672 553820 411897 224902 331143 956410 204338 714238 978178 851649 803421 100892 390462 424844 131150 526264 734426 598923 009489 972080 < 210545 [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.