Information on Result #1000474
Linear OOA(278, 42, F2, 3, 32) (dual of [(42, 3), 48, 33]-NRT-code), using extracting embedded OOA based on digital (46, 78, 42)-net over F2, using
- trace code for nets [i] based on digital (7, 39, 21)-net over F4, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- net from sequence [i] based on digital (7, 20)-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(278, 42, F2, 3, 31) (dual of [(42, 3), 48, 32]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(281, 43, F2, 3, 32) (dual of [(43, 3), 48, 33]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(279, 42, F2, 3, 32) (dual of [(42, 3), 47, 33]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2194, 84, F2, 3, 65) (dual of [(84, 3), 58, 66]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(278, 21, F2, 5, 32) (dual of [(21, 5), 27, 33]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(278, 21, F2, 6, 32) (dual of [(21, 6), 48, 33]-NRT-code) | [i] | ||