Information on Result #1835223
OOA(4222, 648, S4, 3, 58), using extracting embedded OOA based on (164, 222, 648)-net in base 4, using
- trace code for nets [i] based on (16, 74, 216)-net in base 64, using
- 3 times m-reduction [i] based on (16, 77, 216)-net in base 64, using
- base change [i] based on digital (5, 66, 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, 66, 216)-net over F128, using
- 3 times m-reduction [i] based on (16, 77, 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(4225, 649, S4, 3, 58) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(4228, 650, S4, 3, 58) | [i] | ||
| 3 | OOA(4231, 651, S4, 3, 58) | [i] | ||
| 4 | OOA(4223, 648, S4, 3, 58) | [i] | OOA Duplication | |
| 5 | OOA(4224, 648, S4, 3, 58) | [i] | ||