Information on Result #529844
There is no linear OA(281, 4206, F2, 16) (dual of [4206, 4125, 17]-code), because the Johnson bound shows that N ≤ 560247 323597 715435 335472 760035 598350 582377 222618 947384 106722 087133 013823 107347 954011 981181 686948 887221 242937 018146 007490 540347 540093 213756 923534 611745 678529 362135 989522 063570 369996 741052 920465 737749 408265 562923 524490 045040 866276 312152 861661 741962 814598 693195 279552 484724 521601 880540 738111 467333 755231 673237 817839 226369 991238 200147 420503 479301 072421 500275 864466 281004 781753 769880 051672 360469 193325 370441 692090 001044 558058 535638 458348 329654 714203 361985 982006 704301 287640 909245 212369 664789 923269 367387 211106 562740 345987 760730 847269 585732 617390 209881 804402 584065 725669 783369 167605 585741 441731 256338 956610 500776 105995 753237 967432 624305 626253 102221 652324 440764 573630 614378 384854 242945 432183 119413 122395 657582 342960 961533 408150 693034 702727 374412 843403 530124 322489 751286 097025 508988 310702 542560 064263 341583 974540 622454 667951 206449 015759 876669 581467 183811 145563 772559 738914 313568 388869 503929 114735 562661 247022 414599 977391 673206 750592 260240 548370 309403 675427 697709 901135 214281 597626 132779 871131 958936 925526 229389 341363 230250 299940 176607 266845 279015 151320 815522 818803 098752 871432 046116 598107 725757 777060 584153 677837 495166 512174 007226 407808 095939 707479 654241 608426 160712 475947 204726 561755 721593 095083 383933 160809 534653 817903 175397 831267 507473 954844 673057 < 24125
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(282, 4207, F2, 17) (dual of [4207, 4125, 18]-code) | [i] | Truncation | |