Information on Result #561437
There is no linear OOA(4239, 415, F4, 2, 171) (dual of [(415, 2), 591, 172]-NRT-code), because 3 step m-reduction would yield linear OA(4236, 415, F4, 168) (dual of [415, 179, 169]-code), but
- residual code [i] would yield OA(468, 246, S4, 42), but
- the linear programming bound shows that M ≥ 8 266893 710032 655425 717892 686988 538675 685493 888138 140590 751265 026314 680838 406117 785600 000000 / 94 513486 949920 285641 128495 398550 971508 431933 193771 > 468 [i]
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 OOA(4239, 415, F4, 3, 171) (dual of [(415, 3), 1006, 172]-NRT-code) | [i] | Depth Reduction |