Information on Result #1172681
Linear OOA(278, 42, F2, 8, 32) (dual of [(42, 8), 258, 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, 8, 31) (dual of [(42, 8), 258, 32]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(279, 42, F2, 8, 32) (dual of [(42, 8), 257, 33]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(281, 42, F2, 8, 32) (dual of [(42, 8), 255, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(2193, 72, F2, 8, 64) (dual of [(72, 8), 383, 65]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2194, 72, F2, 8, 65) (dual of [(72, 8), 382, 66]-NRT-code) | [i] | ||