Information on Result #560734
There is no linear OOA(4213, 261, F4, 2, 158) (dual of [(261, 2), 309, 159]-NRT-code), because 2 step m-reduction would yield linear OA(4211, 261, F4, 156) (dual of [261, 50, 157]-code), but
- residual code [i] would yield OA(455, 104, S4, 39), but
- the linear programming bound shows that M ≥ 7 723473 632829 389285 976355 541453 254660 289881 978452 313500 994274 223551 712140 212225 490113 864437 287145 948134 332311 964905 619217 330530 016843 066600 998037 356544 / 5779 127016 748909 094986 667927 666304 897550 201537 672172 684327 799525 226094 950381 356180 131377 653225 244035 788465 702327 464125 > 455 [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(4213, 261, F4, 3, 158) (dual of [(261, 3), 570, 159]-NRT-code) | [i] | Depth Reduction | |