Information on Result #530087
There is no linear OA(2129, 5507, F2, 26) (dual of [5507, 5378, 27]-code), because the Johnson bound shows that N ≤ 86940 803901 552215 545330 897114 149086 771564 752046 187920 086797 304545 926305 634839 747285 904931 680860 940832 080210 452129 026493 273508 231010 157017 209093 871066 085961 105159 824517 740848 756849 991044 401325 758557 993012 229497 114364 619638 754084 066514 805522 470768 898628 907094 159886 841743 069156 235472 846559 434993 309453 306072 805287 166259 455033 072390 637103 830688 774856 301225 106636 474753 613717 832188 493814 280433 611173 508992 925434 622023 830550 190734 221750 608045 167042 037454 376509 496880 918124 976783 193681 184490 334743 507054 819040 939216 999472 669765 898033 604724 953457 582092 853695 779180 549936 667903 127081 178347 531606 078024 454056 409274 633893 219193 089762 225254 151715 191615 490197 880641 921402 361924 492930 533281 880144 902417 185000 510003 539912 530505 724081 738893 637082 463770 585797 103416 635787 046409 488118 830173 716354 577461 319725 327587 409749 289917 873274 875671 242528 656328 930824 827594 201523 390979 237050 384504 424950 483819 985155 058703 322893 517748 392115 623246 584286 273334 883437 310481 726294 680303 512808 441603 853715 256607 921063 262496 647164 111030 070028 636559 545778 702522 672925 354419 493704 521690 825337 902680 209751 967947 836818 046314 706751 201210 924977 856525 572986 301370 962157 320259 905827 482280 277934 961457 340400 248415 954829 811298 558621 348504 911024 786570 425278 800488 918759 904935 231040 494781 864892 777197 784854 538336 356479 291946 673612 272208 631274 007928 152951 795540 898360 811006 117740 433744 978926 540208 984910 589631 154074 597998 651309 520691 039406 926008 491996 360681 679804 044097 688483 243617 470513 556441 575754 210335 666166 844853 140938 957507 468861 171085 079113 045738 954576 251472 928657 716136 328743 937461 063100 313428 700325 985055 499245 698420 438498 112003 211710 630204 223264 287615 731414 < 25378
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(2130, 5508, F2, 27) (dual of [5508, 5378, 28]-code) | [i] | Truncation | |