Information on Result #2157746
There is no linear OA(2134, 6816, F2, 27) (dual of [6816, 6682, 28]-code), because 1 times truncation would yield linear OA(2133, 6815, F2, 26) (dual of [6815, 6682, 27]-code), but
- the Johnson bound shows that N ≤ 30 340488 740546 120480 776101 450687 254177 322543 907461 730901 928305 478056 645932 460495 671226 960303 993081 990173 582148 933281 690564 429553 257644 734133 734180 275768 660497 206635 142372 368611 537600 698860 854898 888967 811919 884638 306528 749087 015486 636633 815854 445758 736272 507901 980252 052369 269739 697260 739199 830864 642610 756643 468960 360353 778937 092824 931253 987588 907679 863807 589722 558068 804346 845132 698580 302099 000594 934275 169741 069194 704983 514569 017284 880159 171966 408433 289842 858991 425809 928340 336647 303703 403988 230631 708253 865422 502890 032540 972723 918409 830410 667411 833470 975379 005271 364410 071600 091264 232444 161376 461820 000620 114148 158941 951821 292987 107111 331395 880149 218850 904267 041551 576710 985563 735086 393835 196430 575523 110849 637637 924386 830850 201369 384789 499818 166075 532415 614204 624103 140959 396349 672239 587821 276207 224919 586375 305890 404905 271973 483192 903593 833975 039564 582416 492623 286768 428623 128532 913857 897230 064823 443302 484817 725228 767255 186894 542882 033029 589178 257764 785110 853762 274721 053054 358379 002889 825515 041089 218947 473524 268880 236402 535229 409615 298977 506994 921399 147969 192587 952321 866374 631131 674441 061735 967032 591938 166778 483474 260575 963620 544232 727278 626724 680735 048082 962032 900608 133742 107661 935363 425689 445196 132795 740558 001466 818882 264604 117925 839838 642787 972598 517015 261004 613973 768139 514875 903481 737374 089120 804421 881376 775954 351509 807751 318962 085507 150298 429655 900214 639312 157922 752918 057115 116622 357689 110078 684659 289700 780177 407964 338270 797999 128870 104210 004394 059697 958171 611701 438948 640394 493725 763292 896068 096069 076325 557759 221111 830589 938405 017739 856384 890185 348779 372360 950240 678935 986549 599677 394982 355897 067078 095624 477925 507400 361782 734759 859434 460722 996552 887217 836369 064633 925048 180861 571443 137286 747705 465583 596548 874818 816997 360085 770843 405967 539485 972043 416299 275764 916161 936607 602032 873728 707700 283083 783895 410904 983116 002308 402869 720175 284795 564663 974614 587747 972461 916194 787342 919965 551724 765125 816879 569461 493439 994673 515001 077122 705333 536867 099082 300081 732410 354559 619314 547860 463926 288613 < 26682 [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.