Information on Result #1838215
OOA(2178, 86, S2, 4, 59), using extracting embedded OOA based on (119, 178, 86)-net in base 2, using
- trace code for nets [i] based on (30, 89, 43)-net in base 4, using
- net from sequence [i] based on (30, 42)-sequence in base 4, using
- base expansion [i] based on digital (60, 42)-sequence over F2, using
- t-expansion [i] based on digital (59, 42)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 54, N(F) = 42, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
- t-expansion [i] based on digital (59, 42)-sequence over F2, using
- base expansion [i] based on digital (60, 42)-sequence over F2, using
- net from sequence [i] based on (30, 42)-sequence in base 4, 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(2178, 86, S2, 4, 58) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(2182, 87, S2, 4, 59) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | OOA(2179, 86, S2, 4, 59) | [i] | OOA Duplication | |
| 4 | OOA(2181, 86, S2, 4, 59) | [i] | ||