Information on Result #2157158
There is no linear OA(2105, 6123, F2, 21) (dual of [6123, 6018, 22]-code), because 1 times truncation would yield linear OA(2104, 6122, F2, 20) (dual of [6122, 6018, 21]-code), but
- the Johnson bound shows that N ≤ 396688 784770 666755 058559 064567 540960 564892 478606 170168 077521 148214 699602 086963 546689 791386 553425 182197 750252 410717 969744 311479 448741 006095 588590 198835 702356 996179 110150 559708 598705 583971 367747 139491 778748 456317 155845 577589 217766 804227 829369 449254 169380 405332 393162 137696 433828 632223 358746 483325 239128 972267 525345 836381 262535 375111 738177 633954 340760 867403 575845 208859 645132 872155 655502 138835 223094 023267 924462 682680 233456 212658 854165 061715 875613 890592 527876 279065 506019 017133 029067 888805 359060 513284 498910 778423 394486 914230 695658 137237 551362 715734 337184 836847 634343 684833 858860 626945 181037 638620 439562 182437 618225 323198 574519 089140 548825 904088 721862 435823 707248 924676 740031 114085 514369 470126 673548 946547 228047 664407 823236 237399 632088 586106 055219 344963 032565 038091 295599 959984 512900 624233 447352 981752 909531 832128 708241 355889 883943 214743 959332 113088 864572 055506 692651 847439 448144 601179 957575 499963 058142 445253 845379 665686 043154 189539 240183 441413 427732 826217 503815 460811 117781 038985 398085 019209 540985 453742 240540 017766 286595 211560 884318 013922 718363 583819 030208 856005 967423 910092 151248 265797 659116 492397 161852 123276 138015 690197 229270 313745 597415 321359 148168 814735 255365 328101 230986 580276 349530 286921 583350 398607 930512 591614 458198 534435 608499 284342 991181 780783 994746 122233 059708 025978 496191 471447 902386 887705 922673 620563 161384 481201 992580 557406 449498 212957 897061 996779 006417 768627 957353 978935 096073 796972 274004 312659 113116 098466 806914 135693 275717 618521 406315 348139 075540 061011 176159 029390 025537 795051 358777 497862 096095 656809 880099 803200 441283 581997 703575 769163 397191 080460 130946 214111 650975 870456 500594 130900 551569 854808 766651 215707 602188 496588 861394 335882 949058 049593 592088 723218 017391 207480 138144 273078 566950 199920 098145 763619 532585 373987 659115 290384 528681 092619 499860 076217 363434 748978 953905 195949 544754 101216 849320 < 26018 [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.