Information on Result #530089
There is no linear OA(2131, 6126, F2, 26) (dual of [6126, 5995, 27]-code), because the Johnson bound shows that N ≤ 47282 839919 173464 792136 618183 979815 382182 021746 867401 519020 177113 271899 557928 530470 703767 945704 022787 800830 565121 809832 605536 236913 016145 534371 336988 876318 673537 154982 381930 873297 601994 589083 977391 945874 947681 774803 443337 513535 433739 821861 020694 505932 132221 097973 188194 102289 492672 816594 636391 713643 018467 785270 398755 562208 139583 477347 138662 389334 874424 635413 239840 778670 643139 040642 107399 950576 917930 228214 258174 902441 405610 026431 080432 981524 319264 785864 008497 245230 716339 949311 086369 669147 957534 317310 034305 284988 857864 447050 013621 026104 474688 753325 115341 178228 920096 280852 109697 348178 516543 360046 551976 960522 671630 220295 567415 572390 971503 614799 502365 637741 362350 251001 631489 781999 205837 456142 579424 269543 482835 039584 348265 549175 940133 499371 934215 630050 303497 070210 943257 430293 237973 554088 107090 158999 442184 733731 713104 368723 898094 162432 837714 035198 207098 571004 100858 405140 361180 206271 122636 568562 629279 466680 562301 442584 679486 765404 432643 050106 862168 459086 552200 857205 154975 966527 589983 914990 872150 596481 599784 456380 141501 472138 746311 273303 965138 491329 614020 512117 036345 033397 612438 424577 154020 736052 595657 636791 907415 145013 269270 378162 469102 188840 596390 821338 317247 406885 331288 550029 074118 989598 388140 459415 829710 656149 523573 900091 890671 456309 304930 755513 712788 920333 725933 620919 182458 234181 887253 006758 566624 671008 705869 021899 298313 953870 485743 017012 396166 171795 801249 121453 274548 793791 881350 452483 362617 194206 115897 228857 638805 815510 784773 862751 156312 595425 736104 283942 514390 530301 011425 726120 703940 201091 400623 797821 064700 475617 573533 313468 842470 686953 060164 178585 813647 483190 125676 531190 627858 528959 829831 741970 132856 251364 261132 364391 156102 608477 205543 945854 986727 489849 538244 975557 627760 287657 617518 639626 752701 515249 684880 244794 504237 793537 398904 577931 496892 931108 461341 397306 034100 062403 203340 < 25995
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(2132, 6127, F2, 27) (dual of [6127, 5995, 28]-code) | [i] | Truncation | |