Information on Result #1000386
Linear OOA(258, 54, F2, 3, 19) (dual of [(54, 3), 104, 20]-NRT-code), using extracting embedded OOA based on digital (39, 58, 54)-net over F2, using
- trace code for nets [i] based on digital (10, 29, 27)-net over F4, using
- net from sequence [i] based on digital (10, 26)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- net from sequence [i] based on digital (10, 26)-sequence over F4, using
Mode: Constructive and 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 | Linear OOA(258, 54, F2, 3, 18) (dual of [(54, 3), 104, 19]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(261, 55, F2, 3, 19) (dual of [(55, 3), 104, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(259, 54, F2, 3, 19) (dual of [(54, 3), 103, 20]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(258, 27, F2, 5, 19) (dual of [(27, 5), 77, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(258, 27, F2, 6, 19) (dual of [(27, 6), 104, 20]-NRT-code) | [i] | ||