Information on Result #1835667
OOA(8162, 432, S8, 3, 64), using extracting embedded OOA based on (98, 162, 432)-net in base 8, using
- trace code for nets [i] based on (17, 81, 216)-net in base 64, using
- 3 times m-reduction [i] based on (17, 84, 216)-net in base 64, using
- base change [i] based on digital (5, 72, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- base change [i] based on digital (5, 72, 216)-net over F128, using
- 3 times m-reduction [i] based on (17, 84, 216)-net in base 64, using
Mode: Constructive.
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 | OOA(8162, 432, S8, 3, 63) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(8165, 433, S8, 3, 64) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | OOA(8168, 434, S8, 3, 64) | [i] | ||
| 4 | OOA(8171, 435, S8, 3, 64) | [i] | ||
| 5 | OOA(8163, 432, S8, 3, 64) | [i] | OOA Duplication | |