Information on Result #530032

There is no linear OA(2117, 4558, F2, 24) (dual of [4558, 4441, 25]-code), because the Johnson bound shows that N ≤ 74826 440782 856886 776127 720779 032533 703451 851457 565214 161402 723958 510604 848706 548226 089927 271393 588685 980521 032792 624261 991930 411417 726836 552872 978280 872992 013628 093463 736039 400958 920379 172566 976380 392387 863713 970748 984578 854580 021407 308509 414108 692630 352106 653399 071489 690846 841370 439068 753605 383537 778042 563455 902422 115797 628744 088609 294157 708469 462596 883332 141658 611593 388448 560900 980638 113543 813682 140682 425219 937543 152795 606385 001797 410374 029928 462353 451752 528850 570988 986489 449256 698945 926296 481936 266047 306539 663794 399262 472827 655559 428534 376567 047629 556301 116290 917208 494641 482082 910677 627046 615265 523165 687644 994939 473124 850451 875067 381941 339170 359282 725300 366111 613274 788793 419752 821628 770383 083834 046072 861420 786046 201897 125563 002579 612437 972622 202098 447142 258428 801964 890327 499922 069004 082191 908308 161459 686410 607632 267076 889074 192757 236082 580385 255511 054333 022714 342298 753431 566566 669712 168615 344697 139429 988807 159998 193026 549549 308294 655527 647350 424927 855906 620777 048496 502724 246081 788756 688388 917956 301462 044379 735083 330061 806595 380027 879762 999109 551390 647730 094496 976039 009100 807899 813702 361814 615361 869941 566292 344910 924756 680199 965203 099444 519451 740392 817220 730955 315089 046439 727807 585194 448028 762920 207966 648366 702959 528996 416965 398758 865501 927498 514225 688395 810807 420155 412839 998496 595051 173833 224368 579774 325475 774838 < 24441

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:

ResultThis
result
only
Method
1No linear OA(2118, 4559, F2, 25) (dual of [4559, 4441, 26]-code) [i]Truncation