Information on Result #530037

There is no linear OA(2127, 8119, F2, 24) (dual of [8119, 7992, 25]-code), because the Johnson bound shows that N ≤ 678114 029140 580290 178872 977162 422195 149327 741439 819204 026096 495939 674197 143245 704783 994494 791745 581201 229908 357535 466819 343824 284800 788353 239802 149627 161768 642307 854329 897978 024922 358695 858241 588523 963418 723147 009048 211459 406724 358379 589590 412088 121984 098796 421192 489465 695058 479386 189903 138269 768347 330298 494235 889052 908925 847560 337577 333470 160513 882067 402869 452833 344759 060049 625371 149558 095643 104878 618358 638974 339738 857065 825706 980571 642618 120402 728241 138351 624169 752852 056624 126953 873326 282698 988168 872578 141325 619338 575978 600514 532066 055396 932778 000885 466761 799552 176088 701239 844659 758305 208584 693167 877850 251320 496315 146423 126215 198697 045058 947747 480080 204984 115275 939003 363286 317815 400940 859357 524710 932664 880175 166285 280222 774237 201182 960573 914379 922581 793988 692835 393616 198271 510931 154570 426085 540185 826577 917644 783499 781237 023728 847969 828499 131645 974393 025843 143303 880976 616755 891929 832467 023176 571984 118462 248403 260130 408725 568194 705740 051769 789279 268309 450137 973388 102748 983779 594378 250316 938910 230361 607884 449111 756754 205953 787995 753918 397403 996329 865235 690321 096341 401083 958077 982609 236812 760125 101139 377953 255383 955129 154484 772976 676495 185331 244530 438077 217859 520734 584435 603763 053738 817840 444807 550570 243528 223455 896844 663707 681711 027096 752624 793324 533618 913808 620733 376316 677233 082835 223390 313960 515579 474919 128816 846439 583530 710731 761244 103276 936899 009003 738212 054431 501510 885369 245547 055405 542523 485467 516134 224212 153599 191326 645039 109470 475870 716794 091147 186877 436637 489242 446809 654213 188128 549100 921913 556366 282596 210296 604543 297244 204449 408391 886555 579983 143843 383888 625754 643526 234020 440689 949364 412678 025317 101472 310575 681555 265792 433877 435641 908740 567817 213200 523362 615469 582730 980937 177883 650522 424435 888934 946466 752567 069273 318020 245544 185169 805486 556443 841376 116115 508001 680909 057992 235232 664943 780915 041493 206710 933019 909730 238874 285509 205172 752405 162331 871044 819723 169484 374791 227267 396481 096736 133344 912592 265133 683693 999195 023475 312469 417049 567681 666800 435031 042847 002043 522943 537523 045219 641191 139976 046893 099974 726296 397798 993722 618344 800203 323640 536431 978793 229140 259204 728953 661769 352421 988374 784404 624130 053128 394108 088679 389166 333068 874736 038547 636685 689243 758068 742592 501094 096336 429457 632432 351110 984015 707353 144216 209662 207999 687870 126455 247133 280373 609010 759821 186682 368813 526116 969778 743711 211115 022286 485566 004705 482092 970105 706817 395361 675104 238111 568197 838662 < 27992

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(2128, 8120, F2, 25) (dual of [8120, 7992, 26]-code) [i]Truncation