Information on Result #530151
There is no linear OA(2144, 7552, F2, 28) (dual of [7552, 7408, 29]-code), because the Johnson bound shows that N ≤ 10716 115742 614678 968690 879802 767469 580135 692491 482541 123312 943280 507290 537316 567429 202169 522660 043588 375901 286590 343162 857495 243322 340491 155885 622435 589785 720026 655042 361959 271923 875418 219492 484743 850787 698104 627938 924491 684265 818606 713493 720207 458380 225440 104138 811606 838612 837230 667976 995806 247550 729064 281215 172123 446999 761317 109955 236037 109791 363233 632646 153284 809072 699265 702130 555654 784205 082245 503684 377554 480750 109385 693542 098718 343223 590245 476060 581401 137431 816131 972421 471099 241461 616985 806736 702040 352280 465342 110357 689874 283786 670861 450465 615674 318120 253126 396026 344778 802198 555090 821693 807188 328949 477046 279454 735415 443014 611558 373199 782151 312918 517762 024578 427807 772270 246426 451580 634912 579965 395365 937479 102700 942258 645302 407289 221695 999387 947572 463034 943550 051741 693709 423902 516937 860764 681195 907762 890703 920649 122936 605004 433420 309863 884462 579249 575683 298390 988477 872658 635027 698022 277274 194801 246300 496070 183106 178015 822165 691563 822780 706932 340082 736068 389464 849353 295753 135094 124340 658831 544188 596272 335132 917275 953537 045876 837805 070758 392962 349998 916746 500930 450406 672781 355831 692942 988373 224192 291797 990129 315724 074850 900370 457078 364576 285611 819488 809933 838516 942467 677064 586710 662307 997027 147925 832956 911810 206989 459269 502062 273850 663389 326585 358687 236252 704718 901498 971621 933878 988949 236796 736706 556479 875409 205086 617396 013242 997719 886180 376094 249306 815491 956597 753186 339300 843067 088969 196744 820899 439395 311171 469896 821723 188843 652044 188376 707320 682555 829616 987263 261147 914895 661730 451653 711794 711894 200503 236097 931990 751831 491794 752421 206925 580397 533796 120715 857356 247758 375982 932899 389181 595839 995728 576394 384904 849580 159372 356010 974840 130423 879219 411536 614453 587345 976475 661744 236473 395381 530532 628897 589612 310522 521784 908648 060285 366280 003701 015407 489450 899656 458447 650416 467799 630179 846135 756796 371637 689933 223546 988879 401017 332424 921230 542482 485361 199655 764267 548998 920671 483254 186876 072298 212878 016408 246488 009125 573231 373507 201892 060837 188948 652219 046351 445797 594202 236638 630894 695340 684272 000802 706866 832992 444319 248279 865189 654008 357960 513549 230840 329830 377961 416533 904972 632530 312330 372281 062108 890229 401810 504092 117298 211384 307470 113511 315320 997848 886014 462380 384593 552687 149669 989269 113731 682666 < 27408
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(2145, 7553, F2, 29) (dual of [7553, 7408, 30]-code) | [i] | Truncation | |