Information on Result #1074538
Linear OOA(236, 72, F2, 4, 9) (dual of [(72, 4), 252, 10]-NRT-code), using extracting embedded OOA based on digital (27, 36, 72)-net over F2, using
- trace code for nets [i] based on digital (3, 12, 24)-net over F8, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- net from sequence [i] based on digital (3, 23)-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(2243, 2097222, F2, 4, 18) (dual of [(2097222, 4), 8388645, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2244, 2097222, F2, 4, 19) (dual of [(2097222, 4), 8388644, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(236, 71, F2, 5, 9) (dual of [(71, 5), 319, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(236, 71, F2, 6, 9) (dual of [(71, 6), 390, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(236, 71, F2, 7, 9) (dual of [(71, 7), 461, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(236, 71, F2, 8, 9) (dual of [(71, 8), 532, 10]-NRT-code) | [i] | ||