Information on Result #529982
There is no linear OA(2117, 7818, F2, 22) (dual of [7818, 7701, 23]-code), because the Johnson bound shows that N ≤ 170 476891 827646 671505 871193 120695 838385 908534 263155 154442 638163 815201 283667 864396 678810 132090 757232 445204 044927 709695 149774 229433 176039 179092 092406 285009 486848 815993 474784 562882 632507 098374 420418 358512 386750 117333 571188 795626 045667 654553 896966 952522 361992 357906 155498 528130 844367 785962 545542 176416 506352 048765 380780 707590 175201 938088 077002 973640 846404 251987 987658 227065 000027 493292 048831 187131 903186 678657 543872 875851 927789 470374 895402 840464 287569 495795 953885 799184 398507 336626 513553 572386 912918 276083 277663 115168 795037 156671 513456 526820 494717 897384 011568 915525 973604 193680 044615 994285 395048 126648 785432 707049 784134 107657 987605 602954 633624 233573 141919 385995 865494 445098 324690 775943 056187 637966 195949 855305 306936 874368 060187 090317 182727 058625 804465 269684 632549 571870 452909 212178 394713 286564 580586 236852 283283 440036 829263 109359 539766 892858 271198 466462 031545 828781 253524 522617 550055 400003 689478 515427 565390 884377 058901 304074 155979 486696 312881 203724 300402 402143 762629 732579 988308 003555 629904 199907 593962 473502 824085 040208 463078 206414 621348 465624 524102 407047 484804 543987 919653 111348 043766 861991 239174 971977 719210 360997 461681 551627 210083 323678 157190 640081 292249 601809 680650 990458 440427 398894 424694 959611 341542 157265 086833 108435 079325 564665 865279 131496 406266 767184 710998 767218 471465 009903 281584 744321 784788 533265 150075 862663 262136 549713 657601 454812 413187 931420 698346 166350 635734 888532 504734 465041 829580 893118 144765 311405 523013 897397 377128 856031 428450 345645 004530 699027 606382 734593 345979 760463 925271 938073 890291 645559 217788 427168 287445 612414 904493 701538 557081 986015 861522 640316 038425 135163 196371 717350 222755 370233 631229 928451 033182 807693 845458 490467 079256 808764 263803 515991 968226 755863 915210 806732 798355 678208 288241 716481 139748 459719 334186 726520 533788 014115 041014 459323 464465 470319 462751 340298 654083 120498 305085 550871 167308 164259 969727 879961 286064 967939 235824 134711 724742 596359 751680 675701 293472 569994 843581 346244 713016 965948 216224 842571 597396 317561 903531 953848 780961 352948 857351 129575 569865 910992 168473 792293 067126 613794 163608 642288 812197 340972 321561 906963 367585 758519 151352 551341 253810 333937 182516 876873 129748 644073 844844 230503 376713 013067 220439 149578 890479 915385 650296 371151 111561 576780 885867 982895 982851 931603 635668 952908 524757 260302 540297 246223 414709 714532 405260 818883 288605 949910 386660 543108 505745 559200 213830 027087 523760 < 27701
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(2118, 7819, F2, 23) (dual of [7819, 7701, 24]-code) | [i] | Truncation | |