Information on Result #562710
There is no linear OOA(5138, 171, F5, 2, 108) (dual of [(171, 2), 204, 109]-NRT-code), because 3 step m-reduction would yield linear OA(5135, 171, F5, 105) (dual of [171, 36, 106]-code), but
- construction Y1 [i] would yield
- OA(5134, 147, S5, 105), but
- the linear programming bound shows that M ≥ 35 088836 405859 599893 783329 592875 489923 934405 996939 363274 030802 657132 976918 319400 283508 002758 026123 046875 / 7350 907663 > 5134 [i]
- OA(536, 171, S5, 24), but
- the Rao or (dual) Hamming bound shows that M ≥ 15 032494 166705 850791 777885 > 536 [i]
- OA(5134, 147, S5, 105), but
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(5138, 171, F5, 3, 108) (dual of [(171, 3), 375, 109]-NRT-code) | [i] | Depth Reduction | |