Information on Result #530034

There is no linear OA(2119, 5116, F2, 24) (dual of [5116, 4997, 25]-code), because the Johnson bound shows that N ≤ 17641 498452 386326 431890 412899 428777 157942 514806 163249 798248 809603 325212 277396 998066 536267 374181 062925 921907 444076 088931 230041 202589 494246 841212 987653 705003 069070 776046 110006 351631 538239 966523 967030 328643 841742 815368 147678 325000 881544 132538 105413 981393 054773 006772 621148 679078 357775 419416 043766 471059 542910 535989 698971 519392 254053 975288 927890 697912 126686 838572 255509 933683 930262 091976 197466 978099 911084 218099 925818 855186 025028 942629 693448 529679 523698 606784 693066 145699 528924 097369 797717 576605 194997 133221 968251 642265 606255 117407 896007 389428 298485 544349 331558 409804 700013 586148 220187 088112 891013 459204 909353 566811 931782 240426 940807 137911 290692 971343 740367 871815 583233 895721 704940 299951 667582 936118 349905 149633 809221 971510 286964 264265 240234 920487 784647 483953 822278 711532 799908 002599 722950 685224 751071 556157 742768 419733 234925 373567 021144 259578 674984 336857 125219 271932 542479 038853 688354 786895 587675 566193 209929 075182 866913 797771 515460 989456 184143 156001 166831 313709 822683 834295 765614 062269 101990 334542 219451 629369 902911 948728 314870 539096 461777 225796 429285 547434 513927 352076 027248 145032 269299 987658 759414 153302 843786 085142 620181 028399 172159 476738 548534 173464 096802 671489 884386 564428 722908 419406 621331 257000 823147 381715 301957 378263 046432 655944 714536 874512 498782 207635 011320 917186 118531 164800 458614 095659 212470 452310 076680 077615 559285 219618 674535 165080 650087 663618 923484 970846 885945 373897 830608 248681 948091 169763 726617 485864 776740 792494 031813 303720 841565 131145 865219 283752 423392 502658 442671 072723 362321 813910 835638 < 24997

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(2120, 5117, F2, 25) (dual of [5117, 4997, 26]-code) [i]Truncation