Information on Result #529927
There is no linear OA(299, 4330, F2, 20) (dual of [4330, 4231, 21]-code), because the Johnson bound shows that N ≤ 45 443619 225244 346743 725910 445509 380437 138083 226909 397554 898535 668806 460522 337610 475903 835873 882646 967417 835174 066138 394395 294479 767196 620464 593224 284467 068474 666268 799023 160425 604272 057703 625886 915042 739491 715496 002277 674081 083023 654945 733045 763341 870467 329654 798779 578942 914849 473408 478480 805020 132325 259602 804556 864287 622769 117148 869517 495184 089183 343419 427523 383916 064702 579034 240837 607882 611939 663151 841700 806730 469900 856432 393262 668574 875294 854219 634109 163820 549669 556589 980354 534109 706016 557560 447219 014925 492304 892339 112553 493174 203172 639968 375114 817961 777692 622056 728349 093186 255737 964160 729936 887228 529089 388454 252171 742039 464474 898750 232092 553553 680791 668318 799758 425714 904171 121702 199418 459497 759458 409194 749688 636257 381206 120230 978969 769146 816793 800739 276534 102269 284754 122533 827035 127612 432699 663122 907588 301180 362863 942051 345649 479074 560545 324243 075110 333659 669927 223022 416258 857639 573244 221294 064588 000082 325001 612576 798116 912726 247116 074506 262328 632831 267536 939179 728994 391445 652299 712550 242009 812697 323274 451427 438907 229716 567262 019906 823302 514234 312245 633377 556846 959121 006157 174965 370122 593361 945304 710629 765272 319972 254964 635950 927948 149665 086694 374462 600730 556067 206292 096018 033598 564177 542665 131899 858826 390214 266832 968239 083908 920483 660978 413901 590288 < 24231
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(2100, 4331, F2, 21) (dual of [4331, 4231, 22]-code) | [i] | Truncation | |