Information on Result #529972
There is no linear OA(2100, 2681, F2, 22) (dual of [2681, 2581, 23]-code), because the Johnson bound shows that N ≤ 906 704231 934678 258145 683430 126618 899335 936413 424133 479710 062757 795686 060538 731646 069823 496625 708715 307646 948741 354550 906822 995293 920238 990173 998067 779215 161517 083023 090485 017155 043423 164358 705115 527291 417390 171543 496962 879189 198103 675516 002075 744429 877309 113168 377251 680841 761010 505876 912699 794826 803923 605123 460619 062995 798057 045344 399074 659686 088253 226798 570314 947723 651780 479229 708931 254634 359220 955516 185399 344832 214192 765975 949182 656743 512540 337676 285707 043538 775286 572343 267671 598679 111930 756060 579114 003447 549040 117716 625629 290583 539086 127333 575726 542124 674617 425941 669838 159210 733901 867043 296886 879250 027552 074972 240021 853391 980988 959133 037522 740324 643682 957735 257787 680737 846158 186482 198171 509388 532880 273841 659824 587236 686447 849816 406225 684278 352459 049089 106169 263785 < 22581
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(2101, 2682, F2, 23) (dual of [2682, 2581, 24]-code) | [i] | Truncation | |