Information on Result #1074778
Linear OOA(278, 84, F2, 4, 21) (dual of [(84, 4), 258, 22]-NRT-code), using extracting embedded OOA based on digital (57, 78, 84)-net over F2, using
- trace code for nets [i] based on digital (5, 26, 28)-net over F8, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- net from sequence [i] based on digital (5, 27)-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(278, 84, F2, 4, 20) (dual of [(84, 4), 258, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(282, 85, F2, 4, 21) (dual of [(85, 4), 258, 22]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(279, 84, F2, 4, 21) (dual of [(84, 4), 257, 22]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(280, 84, F2, 4, 21) (dual of [(84, 4), 256, 22]-NRT-code) | [i] | ||
| 5 | Linear OOA(278, 42, F2, 7, 21) (dual of [(42, 7), 216, 22]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(278, 42, F2, 8, 21) (dual of [(42, 8), 258, 22]-NRT-code) | [i] | ||