Information on Result #561200
There is no linear OOA(4231, 368, F4, 2, 167) (dual of [(368, 2), 505, 168]-NRT-code), because 3 step m-reduction would yield linear OA(4228, 368, F4, 164) (dual of [368, 140, 165]-code), but
- residual code [i] would yield OA(464, 203, S4, 41), but
- the linear programming bound shows that M ≥ 9237 828678 014661 888733 201438 074087 629177 850315 553208 766694 988543 356653 154675 278877 490717 655040 / 25 848321 162508 053807 967718 560003 483887 415061 992757 599441 > 464 [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(4231, 368, F4, 3, 167) (dual of [(368, 3), 873, 168]-NRT-code) | [i] | Depth Reduction |