Information on Result #529977
There is no linear OA(2110, 5031, F2, 22) (dual of [5031, 4921, 23]-code), because the Johnson bound shows that N ≤ 233517 468634 721956 415264 700184 431626 468434 630056 022905 097578 009479 919890 261447 802415 442440 226738 317169 613942 889859 829602 132023 030401 668468 573800 771509 899740 724764 701441 009566 157470 961314 374077 257831 783535 937426 083126 296996 920306 509687 556571 635629 894912 118695 990301 885929 132620 990928 129676 374574 541010 615970 713372 926112 728470 768258 206874 416179 993089 346193 985021 110453 180719 397408 032267 048496 905971 435392 256176 398184 238232 798162 955944 190453 111593 233775 748660 769172 185909 408570 503943 207123 029799 360928 428751 716805 827569 626110 808482 587114 139648 851932 045959 280560 836560 271127 202422 470768 917394 010066 917695 473124 263981 215477 144150 493604 405098 158387 983226 631078 197659 824390 318139 312961 620462 043467 766927 928122 473070 948235 414326 225932 286617 396560 914345 035133 399154 149814 508179 190285 959058 959894 080089 882632 673980 114572 333125 665940 317574 484585 877530 318804 254138 250257 637074 099704 818593 483482 608281 779233 940554 848346 448915 375483 328444 207171 741452 191708 024023 487674 091401 236761 354377 412567 192854 864674 260085 449841 216294 235209 386771 622061 951798 428266 348600 165562 798266 645149 426771 567733 900463 231612 466947 673675 159546 750219 735101 275204 245853 357692 897439 940554 734432 425754 974338 065036 258532 930622 318852 359321 038983 172682 800801 284239 568650 486310 179859 437234 910721 062168 796786 854803 441504 411020 673683 563914 642894 893948 758872 323213 416457 190365 478827 615300 095040 747475 381132 488927 466225 324322 327770 715802 749318 117897 880926 880134 286856 092814 366119 309068 197245 402447 156833 919254 472190 763480 342544 348301 < 24921
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(2111, 5032, F2, 23) (dual of [5032, 4921, 24]-code) | [i] | Truncation | |