Information on Result #530097
There is no linear OA(2143, 11612, F2, 26) (dual of [11612, 11469, 27]-code), because the Johnson bound shows that N ≤ 325 812987 684513 343908 755194 606386 595155 039647 416130 023611 323262 807232 942705 324852 666144 116995 292212 800450 556353 767321 204519 404535 626957 515675 392844 185943 141626 876750 568202 862042 710061 135445 319315 926428 711409 336539 723607 872275 253096 529839 085292 931336 366026 719022 919756 894719 725322 484842 410569 104982 939269 506481 290768 190156 161153 024326 138258 627215 710869 451852 284516 497412 015959 729314 680999 089898 516160 153956 295004 997360 764623 087086 548179 303492 272974 736195 366364 400221 637817 192718 872592 079136 349570 748369 686224 411784 047837 123866 183499 571952 922579 294894 071696 137762 636524 256585 705978 092868 643962 670437 381875 069582 716815 022247 184439 475170 516586 439668 564153 779640 032989 264187 131342 161708 588437 082649 101931 862206 296430 876004 263951 944354 491353 793393 076650 350061 215212 022121 761667 587200 842914 362951 754681 044164 501995 075938 649965 261266 252172 068902 702886 476928 629092 215469 678446 404922 056497 886167 733864 733224 076803 826851 185914 545914 503610 553452 212478 689003 503595 731131 684831 986328 927041 216918 282079 061251 844049 720157 286275 280163 147751 824927 935148 866885 564532 837466 020343 421429 111330 304743 077008 742899 701322 457892 278004 944661 991456 005010 737094 169802 162109 411531 609502 614805 572675 568767 255199 389542 615396 254071 741958 934863 018802 478227 414565 433658 249816 501872 480520 665657 042435 733721 269526 414144 979027 186601 174646 071661 224267 062345 230085 525069 234555 750518 115479 168926 456658 001413 069762 839941 061361 583835 923916 360764 087473 637518 790248 412344 504225 595300 290330 237178 884225 187669 206345 995294 218900 898512 132128 172653 803263 486132 189632 631622 366220 441583 619639 598431 848657 095736 701005 533849 330571 355417 611976 271550 150909 208942 317143 035163 607342 438257 733182 003057 569614 574126 377212 734414 441106 373362 502844 389672 380383 206453 448912 931087 524284 119540 242179 564891 212093 556787 958287 825916 444774 235954 007601 415916 330975 949511 039150 921495 942778 667879 472349 222357 264205 287131 242365 499090 659277 746540 104556 751191 863689 082450 337361 536091 865189 612037 390219 894507 698774 960828 873050 441504 589494 553786 785362 708547 071310 935087 198386 754050 873534 902781 121430 935264 702780 408181 222048 580188 234313 621718 467628 187288 357704 655796 888202 620701 997003 938767 123925 892727 404355 996604 251989 285275 505575 509117 473793 391503 368780 700206 028909 569054 749644 059654 444588 682501 303203 552859 970412 842656 472045 729538 431361 513196 554262 048594 907275 516546 718272 963243 514606 006288 308483 462171 396116 441997 282931 547342 746822 080259 873614 303631 910942 856117 736278 697915 075115 541953 935151 852234 329436 681205 660129 348858 419937 925139 457039 743862 552132 164440 352994 367279 374422 148015 074745 708114 821626 848027 834364 906475 429436 149221 396719 021443 539237 516672 984860 661957 484385 088865 214012 643133 658832 798157 784044 940924 548513 193678 410963 608930 848663 861627 207017 996596 738956 828647 351404 690546 476043 815979 186826 172148 569426 533261 513987 345713 477501 009108 594834 651877 422787 542589 834512 232056 516285 697872 008572 730345 576952 311569 035000 980175 541679 312589 534859 235600 173312 739118 566143 350292 386476 092086 947085 285471 129666 802024 238402 795897 162241 378425 750525 279314 086855 061228 355963 572487 656982 755381 751924 796595 368451 081302 976026 477251 659271 927159 386818 112087 530318 557105 527883 758542 436194 321925 015000 040248 812388 065887 183391 984888 898397 489967 785440 554162 824529 354651 362075 826457 267347 159722 269791 330531 412653 363019 941618 005548 009064 934165 220800 186694 103414 872936 595290 995161 655576 972086 861209 691874 455991 948266 893710 472256 143045 088644 700543 240070 791173 169938 081488 459538 738769 176054 994065 526968 329991 147394 244202 590011 903283 635847 984408 255483 < 211469
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(2144, 11613, F2, 27) (dual of [11613, 11469, 28]-code) | [i] | Truncation |