Information on Result #529928
There is no linear OA(2100, 4640, F2, 20) (dual of [4640, 4540, 21]-code), because the Johnson bound shows that N ≤ 47435 612761 105122 158732 838982 571520 491603 095390 779783 883195 303286 300999 434863 224909 870147 434696 894033 319555 063566 831220 703210 940329 496289 844253 478189 308072 286086 231311 039565 623384 187002 110694 518828 984667 149364 744158 701772 708270 412441 359108 144074 633901 765826 342414 855440 351984 137945 214560 538972 905002 422050 570559 960467 532077 148274 203917 772430 109402 813354 241725 310142 254513 253064 837622 976296 838354 256028 261577 756122 841269 614848 231609 430408 487680 887229 119507 094406 193002 500092 931254 464313 100903 235181 232731 595302 246770 237746 868622 233211 248199 302422 942457 894688 968901 975315 450339 017990 920220 439834 332424 501370 362094 509507 134861 434802 722085 829742 563306 590674 484334 849385 233430 626143 656679 447061 337394 203210 833146 425629 626702 242508 078024 818877 263669 938497 929185 127849 287477 897658 827093 332807 219882 396026 813731 297712 695796 616673 703390 226154 340683 408090 296346 600851 500623 243720 832299 955274 668628 473805 226399 935150 850773 560757 604466 751174 467317 795297 128705 476905 630928 353782 373938 200224 133322 368649 624413 957787 694910 611314 264710 173643 413849 920181 015703 787071 361986 370590 608173 419168 142074 581148 922925 323320 418377 211759 008017 931542 659633 946797 610370 744891 112591 450198 237325 944148 088071 923108 514000 698259 035761 589148 482011 728206 281004 299534 372032 101415 558689 646031 649197 515743 001223 184964 895448 527628 055357 082910 078130 808002 599907 758965 899799 908648 478630 908546 140129 754409 188880 < 24540
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(2101, 4641, F2, 21) (dual of [4641, 4540, 22]-code) | [i] | Truncation | |