Information on Result #1006681
Linear OOA(936, 232, F9, 3, 16) (dual of [(232, 3), 660, 17]-NRT-code), using extracting embedded OOA based on digital (20, 36, 232)-net over F9, using
- trace code for nets [i] based on digital (2, 18, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, 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(936, 232, F9, 3, 15) (dual of [(232, 3), 660, 16]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(939, 233, F9, 3, 16) (dual of [(233, 3), 660, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(937, 232, F9, 3, 16) (dual of [(232, 3), 659, 17]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(954, 432, F9, 3, 16) (dual of [(432, 3), 1242, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |