Information on Result #2157773
There is no linear OA(2135, 7189, F2, 27) (dual of [7189, 7054, 28]-code), because 1 times truncation would yield linear OA(2134, 7188, F2, 26) (dual of [7188, 7054, 27]-code), but
- the Johnson bound shows that N ≤ 292071 112420 191435 762200 932084 285308 049958 471561 196942 365149 605019 202665 091487 226449 389962 900943 838878 066288 651430 682240 213278 880964 604659 652297 272444 230918 763531 499308 578809 251547 713757 758428 950243 964095 902524 247068 844723 848079 806940 779815 255459 627259 619759 806067 955276 161540 892853 051334 861737 760858 825519 464138 486545 390153 661600 774545 328087 318375 692002 102268 388230 738081 385007 223352 988277 914807 007551 961840 671041 064695 069459 589518 657741 368820 262663 958883 839928 158766 614875 940617 128368 206855 128188 522180 623660 554513 945283 032799 579561 148905 304449 013283 512720 772053 060403 055068 912327 276708 144742 792628 177620 731081 609403 399411 362361 252398 397846 605839 019805 720213 011941 361782 667784 158838 167616 902369 175343 726140 599716 375197 929815 929019 144359 890901 359434 706550 295389 412732 384069 195631 353422 454706 747322 352347 163395 791055 621223 727603 388592 212989 826490 539293 115681 495954 019192 211999 112973 553902 822949 958831 421990 260420 483145 211127 641952 141589 553251 536315 739126 289254 043712 360522 020701 270373 224966 706684 330590 788602 915611 271225 253777 794365 743196 564574 955129 500431 005352 139334 979404 445761 734464 370158 973325 256876 795417 079698 156550 093642 249478 555868 189950 441067 574225 735447 872105 398909 755270 136068 153542 513135 417919 779673 408816 375486 871005 385356 610324 797484 976613 265401 837119 302115 113682 886021 406456 303377 191448 485382 922885 497368 220902 340304 941491 293220 843808 850421 026907 946929 921111 429824 268999 525159 347182 131898 531637 851817 037120 461412 393686 400980 805210 223425 646005 708284 676964 400241 464775 420956 276946 483629 748564 363988 813265 281872 727535 910800 337989 590203 223375 401319 312143 975351 007282 068187 155725 042839 945389 943836 016527 414312 087101 533342 003362 460842 902429 293264 955006 863531 497627 021936 535617 980711 402761 054947 872244 971895 595549 772779 740954 221274 912869 911744 012950 254722 591466 499932 745469 358811 102313 415029 649618 305296 187765 158315 811570 152046 260939 251997 221381 015776 820285 511259 731643 319703 198493 004017 923771 766320 536431 936264 483453 253115 666504 467767 607211 711687 671908 358685 120610 215790 071969 935528 516956 780064 045656 583624 275862 071176 979427 227368 079865 563354 094466 703497 865842 959485 870754 451901 216156 518218 417290 245536 205104 465455 < 27054 [i]
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
None.