Information on Result #529847
There is no linear OA(285, 5947, F2, 16) (dual of [5947, 5862, 17]-code), because the Johnson bound shows that N ≤ 4 339082 692944 592475 684142 849427 303668 891872 359560 609717 021769 108104 353233 072086 542462 155226 926549 195259 468442 631855 835070 029808 395161 669955 301055 589953 859214 765170 217312 770503 388667 319085 666017 173807 197012 732362 284944 940388 727079 747491 028662 616484 759002 123571 168004 929879 141744 620625 641763 529621 648017 900784 507603 118933 710900 833245 888267 839638 975627 131574 901712 998412 528988 634141 983760 676152 019570 974106 759506 773037 728196 380441 358974 857618 609028 542092 377421 985804 235926 203213 860387 673590 373047 407725 189167 344942 799225 007794 945217 934756 249066 061128 878327 926817 040447 260494 788865 666089 882585 958944 234465 229878 668944 941568 661090 736189 203393 514970 473824 609365 229013 512912 657610 299687 625955 621874 812942 734193 713155 244051 553306 344826 626918 890289 516120 492584 965323 920231 623818 551795 593629 500964 804057 609207 631568 124644 842022 438869 950473 112021 281947 129981 938018 880513 784038 685978 962132 518561 016371 347334 579527 520970 924058 482241 254618 226433 597623 305128 229371 321650 812727 242678 544227 469418 441368 370976 394100 345087 385713 913169 793556 025037 020245 422048 775376 059792 671574 671692 306740 371776 995045 084179 505637 072634 581314 312593 547645 401412 826380 802581 452905 970828 576622 360204 635934 005445 689991 024698 958403 458685 314289 402727 207421 986757 639164 228130 569155 950605 425191 361597 636286 383370 265556 946556 648735 057668 926916 179022 938966 278593 527697 865805 923295 484158 722229 755895 140913 747874 669000 972856 462675 871424 499127 210185 524919 276101 953927 171100 447778 393583 841522 176001 575876 195609 046164 774443 512489 238551 905094 026004 237266 777213 720291 416080 112399 944015 123026 293147 419195 824460 946996 324393 377550 359802 598829 426958 610224 677911 541565 201838 221245 190417 162512 902213 271527 243700 354366 937728 474246 809895 529910 535356 865485 060166 275511 075279 598365 633445 413797 392657 753986 843654 191980 838251 500146 < 25862
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(286, 5948, F2, 17) (dual of [5948, 5862, 18]-code) | [i] | Truncation | |