Information on Result #573214
There is no linear OOA(4114, 229, F4, 3, 80) (dual of [(229, 3), 573, 81]-NRT-code), because 2 times depth reduction would yield linear OA(4114, 229, F4, 80) (dual of [229, 115, 81]-code), but
- construction Y1 [i] would yield
- OA(4113, 148, S4, 80), but
- the linear programming bound shows that M ≥ 134390 122763 442072 744489 280693 386578 084491 173770 590049 483300 612364 941999 081453 236362 093214 564352 / 1168 599339 892305 226318 359375 > 4113 [i]
- linear OA(4115, 229, F4, 81) (dual of [229, 114, 82]-code), but
- discarding factors / shortening the dual code would yield linear OA(4115, 219, F4, 81) (dual of [219, 104, 82]-code), but
- construction Y1 [i] would yield
- OA(4114, 146, S4, 81), but
- the linear programming bound shows that M ≥ 7 594596 073360 304072 815867 736592 315637 386549 140598 576996 791410 829396 630589 236390 143121 686528 / 15336 256272 900153 260065 > 4114 [i]
- OA(4104, 219, S4, 73), but
- discarding factors would yield OA(4104, 150, S4, 73), but
- the linear programming bound shows that M ≥ 32 028783 264027 932827 838658 827950 132017 443030 031565 779091 184319 519613 927802 631343 679332 066747 830675 439616 / 70932 376441 373736 310653 589982 582096 950125 > 4104 [i]
- discarding factors would yield OA(4104, 150, S4, 73), but
- OA(4114, 146, S4, 81), but
- construction Y1 [i] would yield
- discarding factors / shortening the dual code would yield linear OA(4115, 219, F4, 81) (dual of [219, 104, 82]-code), but
- OA(4113, 148, S4, 80), but
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
None.