Information on Result #529846
There is no linear OA(283, 5001, F2, 16) (dual of [5001, 4918, 17]-code), because the Johnson bound shows that N ≤ 29187 876317 399380 808828 931857 673504 930813 829470 108063 735637 765214 418501 736256 798832 511736 019127 370910 149578 566226 970831 206788 493717 721009 359695 962821 840794 210339 415345 986415 339883 711418 275771 189365 346491 078395 632296 138730 038346 330627 896775 070152 096672 521731 900311 547119 581718 964391 772975 755630 260145 384579 897575 483930 706756 467155 223822 084487 029600 894653 618758 411538 021142 314234 302279 820787 111925 657917 330152 054343 509243 337285 655399 492053 393518 337996 331390 920794 063787 007988 028895 633809 894693 353847 659870 385030 229662 098511 624516 361512 858804 784807 434792 563612 661621 643380 739205 600115 075876 273998 192342 157710 432307 304912 534501 734687 937196 927989 274602 875604 705551 081156 409678 268753 027216 882512 308576 134209 886916 493269 939670 337518 211572 192115 813596 752336 827445 540412 393099 510364 454588 696997 808255 661778 804949 405955 466070 754605 865323 308702 415473 381298 233278 690219 506787 795305 667915 685578 673781 941154 587562 365769 869565 225859 694954 963448 635454 420925 924515 479807 893051 685827 209313 144793 128481 491565 188630 806587 998406 385864 938756 710080 583920 017129 138390 246147 139086 286698 814074 642957 916648 895598 914497 813164 822130 593227 342222 240500 927869 070799 448819 767562 463242 016669 925784 752570 665899 377315 985095 052257 939718 304631 504676 757955 469057 680960 521142 458663 778889 010906 305687 013008 564087 089599 412156 245528 644561 434617 851545 253703 613178 414344 663681 309146 541288 512082 452649 558426 142748 713911 323975 384717 546757 278259 389059 367577 918065 667871 847841 866665 715044 404613 047770 089461 834914 563472 671990 774682 < 24918
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(284, 5002, F2, 17) (dual of [5002, 4918, 18]-code) | [i] | Truncation | |