Information on Result #1003190
Linear OOA(4112, 130, F4, 3, 50) (dual of [(130, 3), 278, 51]-NRT-code), using extracting embedded OOA based on digital (62, 112, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 56, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, 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(4112, 130, F4, 3, 49) (dual of [(130, 3), 278, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4115, 131, F4, 3, 50) (dual of [(131, 3), 278, 51]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4118, 132, F4, 3, 50) (dual of [(132, 3), 278, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(4121, 133, F4, 3, 50) (dual of [(133, 3), 278, 51]-NRT-code) | [i] | ||
| 5 | Linear OOA(4124, 134, F4, 3, 50) (dual of [(134, 3), 278, 51]-NRT-code) | [i] | ||
| 6 | Linear OOA(4127, 135, F4, 3, 50) (dual of [(135, 3), 278, 51]-NRT-code) | [i] | ||
| 7 | Linear OOA(4130, 136, F4, 3, 50) (dual of [(136, 3), 278, 51]-NRT-code) | [i] | ||
| 8 | Linear OOA(4133, 137, F4, 3, 50) (dual of [(137, 3), 278, 51]-NRT-code) | [i] | ||
| 9 | Linear OOA(4136, 138, F4, 3, 50) (dual of [(138, 3), 278, 51]-NRT-code) | [i] | ||
| 10 | Linear OOA(4113, 130, F4, 3, 50) (dual of [(130, 3), 277, 51]-NRT-code) | [i] | OOA Duplication | |
| 11 | Linear OOA(4138, 139, F4, 3, 50) (dual of [(139, 3), 279, 51]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 12 | Linear OOA(4139, 140, F4, 3, 50) (dual of [(140, 3), 281, 51]-NRT-code) | [i] | ||
| 13 | Linear OOA(4140, 144, F4, 3, 50) (dual of [(144, 3), 292, 51]-NRT-code) | [i] | ||
| 14 | Linear OOA(4141, 145, F4, 3, 50) (dual of [(145, 3), 294, 51]-NRT-code) | [i] | ||
| 15 | Linear OOA(4142, 147, F4, 3, 50) (dual of [(147, 3), 299, 51]-NRT-code) | [i] | ||
| 16 | Linear OOA(4144, 151, F4, 3, 50) (dual of [(151, 3), 309, 51]-NRT-code) | [i] | ||
| 17 | Linear OOA(4146, 152, F4, 3, 50) (dual of [(152, 3), 310, 51]-NRT-code) | [i] | ||
| 18 | Linear OOA(4147, 157, F4, 3, 50) (dual of [(157, 3), 324, 51]-NRT-code) | [i] | ||
| 19 | Linear OOA(4149, 158, F4, 3, 50) (dual of [(158, 3), 325, 51]-NRT-code) | [i] | ||