Information on Result #529979
There is no linear OA(2112, 5706, F2, 22) (dual of [5706, 5594, 23]-code), because the Johnson bound shows that N ≤ 9151 177650 937351 002865 405971 143999 635270 519518 825518 473887 464768 603504 820974 324206 651108 744432 176111 850960 196769 655774 803492 769641 068294 534965 715568 426735 980472 475315 884319 207039 021163 864373 990584 221357 612937 072545 771490 934765 802883 820797 887496 472917 373105 173002 880911 111578 072684 338562 694480 620978 421215 007791 440327 679180 999536 916540 544152 209613 150133 755283 288387 514916 690622 397876 953462 538626 624826 350961 200269 892654 946894 221028 828145 096386 573045 875122 918259 580722 994868 945771 026654 988808 694556 114880 345584 184015 440648 171594 861963 969143 157411 648014 300940 383537 151876 632700 237008 435908 949401 733228 384627 756774 553330 908769 418341 136947 676907 224351 235073 069630 186701 352616 952006 074156 973043 812878 718379 837962 888690 440091 999779 880142 062634 002124 715676 699450 079423 514244 582662 751758 766855 739704 332486 897350 161412 347799 291701 273406 862643 076818 544946 316816 453198 730956 592253 698773 691172 930171 192963 633998 551543 175336 102749 824608 450388 088224 845179 595430 637909 299287 230226 760200 819829 329911 940838 983728 880405 314798 090173 269489 713220 901531 963626 762978 391866 386851 805271 789177 663253 056650 605197 307460 275502 454329 340454 677485 615194 462587 305353 232988 781344 038380 035161 024315 797039 442339 392092 391519 606722 222359 967772 936358 823189 578607 043921 757748 134700 891046 714237 936245 938511 045220 080163 446752 468312 420828 731671 198278 013245 521817 182137 188963 942477 877205 757854 812206 813070 876790 609539 647965 443049 794931 877114 507991 692331 052311 388532 485887 595354 150154 168709 599993 242523 357213 971483 729741 616964 343965 706350 771949 736144 888137 272114 344370 698751 548134 820108 361770 009105 494068 938887 878322 963721 698546 766313 853216 242379 136514 105506 358447 217385 782475 335615 018591 468518 722646 323441 853932 594221 060199 596064 < 25594
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(2113, 5707, F2, 23) (dual of [5707, 5594, 24]-code) | [i] | Truncation | |