Information on Result #1157373
Linear OOA(2135, 195, F2, 7, 31) (dual of [(195, 7), 1230, 32]-NRT-code), using extracting embedded OOA based on digital (104, 135, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 45, 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(2135, 195, F2, 7, 30) (dual of [(195, 7), 1230, 31]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2135, 195, F2, 7, 29) (dual of [(195, 7), 1230, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(2142, 196, F2, 7, 31) (dual of [(196, 7), 1230, 32]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2136, 195, F2, 7, 31) (dual of [(195, 7), 1229, 32]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2137, 195, F2, 7, 31) (dual of [(195, 7), 1228, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(2139, 195, F2, 7, 31) (dual of [(195, 7), 1226, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(2140, 195, F2, 7, 31) (dual of [(195, 7), 1225, 32]-NRT-code) | [i] | ||