Information on Result #1158668
Linear OOA(2220, 320, F2, 7, 41) (dual of [(320, 7), 2020, 42]-NRT-code), using extracting embedded OOA based on digital (179, 220, 320)-net over F2, using
- trace code for nets [i] based on digital (3, 44, 64)-net over F32, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, 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(2220, 320, F2, 7, 40) (dual of [(320, 7), 2020, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2227, 321, F2, 7, 41) (dual of [(321, 7), 2020, 42]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2221, 320, F2, 7, 41) (dual of [(320, 7), 2019, 42]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2222, 320, F2, 7, 41) (dual of [(320, 7), 2018, 42]-NRT-code) | [i] | ||
| 5 | Linear OOA(2223, 320, F2, 7, 41) (dual of [(320, 7), 2017, 42]-NRT-code) | [i] | ||
| 6 | Linear OOA(2224, 320, F2, 7, 41) (dual of [(320, 7), 2016, 42]-NRT-code) | [i] | ||
| 7 | Linear OOA(2226, 320, F2, 7, 41) (dual of [(320, 7), 2014, 42]-NRT-code) | [i] | ||