Information on Result #1074688
Linear OOA(262, 34, F2, 4, 26) (dual of [(34, 4), 74, 27]-NRT-code), using extracting embedded OOA based on digital (36, 62, 34)-net over F2, using
- trace code for nets [i] based on digital (5, 31, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- net from sequence [i] based on digital (5, 16)-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(262, 34, F2, 4, 25) (dual of [(34, 4), 74, 26]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(263, 34, F2, 4, 26) (dual of [(34, 4), 73, 27]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(265, 34, F2, 4, 26) (dual of [(34, 4), 71, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(2168, 76, F2, 4, 52) (dual of [(76, 4), 136, 53]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2169, 76, F2, 4, 53) (dual of [(76, 4), 135, 54]-NRT-code) | [i] | ||
| 6 | Linear OOA(262, 17, F2, 7, 26) (dual of [(17, 7), 57, 27]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(262, 17, F2, 8, 26) (dual of [(17, 8), 74, 27]-NRT-code) | [i] | ||