Information on Result #1075052
Linear OOA(2126, 195, F2, 4, 28) (dual of [(195, 4), 654, 29]-NRT-code), using extracting embedded OOA based on digital (98, 126, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 42, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-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(2126, 195, F2, 4, 27) (dual of [(195, 4), 654, 28]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2130, 196, F2, 4, 28) (dual of [(196, 4), 654, 29]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2134, 197, F2, 4, 28) (dual of [(197, 4), 654, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(2127, 195, F2, 4, 28) (dual of [(195, 4), 653, 29]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2128, 195, F2, 4, 28) (dual of [(195, 4), 652, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(2126, 97, F2, 7, 28) (dual of [(97, 7), 553, 29]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2126, 97, F2, 8, 28) (dual of [(97, 8), 650, 29]-NRT-code) | [i] | ||