Information on Result #1074780
Linear OOA(278, 105, F2, 4, 18) (dual of [(105, 4), 342, 19]-NRT-code), using extracting embedded OOA based on digital (60, 78, 105)-net over F2, using
- trace code for nets [i] based on digital (8, 26, 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(279, 105, F2, 4, 18) (dual of [(105, 4), 341, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(278, 52, F2, 7, 18) (dual of [(52, 7), 286, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(278, 52, F2, 8, 18) (dual of [(52, 8), 338, 19]-NRT-code) | [i] | ||