Information on Result #1000656
Linear OOA(2114, 105, F2, 3, 30) (dual of [(105, 3), 201, 31]-NRT-code), using extracting embedded OOA based on digital (84, 114, 105)-net over F2, using
- trace code for nets [i] based on digital (8, 38, 35)-net over F8, using
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
- net from sequence [i] based on digital (8, 34)-sequence over F8, 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(2115, 105, F2, 3, 30) (dual of [(105, 3), 200, 31]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2116, 105, F2, 3, 30) (dual of [(105, 3), 199, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(2114, 52, F2, 5, 30) (dual of [(52, 5), 146, 31]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2114, 52, F2, 6, 30) (dual of [(52, 6), 198, 31]-NRT-code) | [i] | ||