Information on Result #529976
There is no linear OA(2109, 4724, F2, 22) (dual of [4724, 4615, 23]-code), because the Johnson bound shows that N ≤ 1789 226753 724115 356096 701020 709685 380021 851266 373526 599728 955261 445837 078604 861437 773899 529535 838533 657164 727522 129219 188417 868083 149301 287815 098639 973665 381878 678934 709159 373175 946031 863039 456508 182785 683421 403891 439952 837189 264372 018368 290117 532773 488829 582367 631445 726083 836551 692309 853295 091142 439969 949710 231520 752421 314076 649850 650639 503037 872348 228543 231109 015624 277104 413958 305494 606272 718605 432951 937865 286545 717943 493139 337712 740282 583204 685380 420697 152319 295722 404603 642376 208724 466458 806767 671602 912677 630322 457782 939216 680773 234323 907974 042462 791417 686617 053276 199453 330123 631854 726533 153427 925919 341577 209414 984440 184634 965586 411665 078466 599144 037872 468737 772517 277347 810822 286292 815486 394156 532848 936700 829413 875236 643553 187790 554114 965006 858113 719990 836993 225026 813849 499325 487073 436507 487276 112650 139213 388800 738032 505662 794228 585636 658045 373258 946276 503714 008700 669975 123320 761705 759333 009566 576768 850208 916085 135548 823462 876989 203786 807405 177187 331335 532526 371172 743654 641278 396461 031757 292823 235604 027821 686750 584061 432364 881460 056407 759090 331765 053798 384224 541123 720494 256753 682950 329822 489944 054381 464414 938899 274333 214350 987322 592242 760281 997990 219674 878181 136955 466861 244566 502459 765658 710727 888446 264572 978213 171253 293708 466175 831514 382979 066517 141159 436749 495912 891630 838347 351182 512135 230153 326343 781073 654911 762537 550780 900457 241782 482880 177950 259385 109568 113541 < 24615
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(2110, 4725, F2, 23) (dual of [4725, 4615, 24]-code) | [i] | Truncation | |