Information on Result #561695
There is no linear OOA(4247, 379, F4, 2, 179) (dual of [(379, 2), 511, 180]-NRT-code), because 3 step m-reduction would yield linear OA(4244, 379, F4, 176) (dual of [379, 135, 177]-code), but
- residual code [i] would yield OA(468, 202, S4, 44), but
- the linear programming bound shows that M ≥ 2027 088631 021403 337954 762092 477564 421959 685162 636703 100335 360507 890568 637631 560712 794323 981191 765389 475840 / 21729 825107 879568 901112 749356 633788 098469 459498 248484 364910 480751 > 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(4247, 379, F4, 3, 179) (dual of [(379, 3), 890, 180]-NRT-code) | [i] | Depth Reduction | |