Information on Result #561567
There is no linear OOA(4243, 317, F4, 2, 179) (dual of [(317, 2), 391, 180]-NRT-code), because 3 step m-reduction would yield linear OA(4240, 317, F4, 176) (dual of [317, 77, 177]-code), but
- residual code [i] would yield OA(464, 140, S4, 44), but
- the linear programming bound shows that M ≥ 6 055971 130979 717035 237533 763765 896035 104411 078322 823391 498324 273826 156962 484218 588303 215205 346683 113225 234756 746893 442044 988412 906254 866058 803915 928912 265216 000000 / 17465 630993 245964 374557 288355 588936 264526 909741 890553 067641 295523 141418 950639 065672 191422 532782 852686 274622 640710 777054 531879 > 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(4243, 317, F4, 3, 179) (dual of [(317, 3), 708, 180]-NRT-code) | [i] | Depth Reduction | |