Information on Result #1003137
Linear OOA(4100, 130, F4, 3, 44) (dual of [(130, 3), 290, 45]-NRT-code), using extracting embedded OOA based on digital (56, 100, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 50, 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(4100, 130, F4, 3, 43) (dual of [(130, 3), 290, 44]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4103, 131, F4, 3, 44) (dual of [(131, 3), 290, 45]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4106, 132, F4, 3, 44) (dual of [(132, 3), 290, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(4109, 133, F4, 3, 44) (dual of [(133, 3), 290, 45]-NRT-code) | [i] | ||
| 5 | Linear OOA(4112, 134, F4, 3, 44) (dual of [(134, 3), 290, 45]-NRT-code) | [i] | ||
| 6 | Linear OOA(4115, 135, F4, 3, 44) (dual of [(135, 3), 290, 45]-NRT-code) | [i] | ||
| 7 | Linear OOA(4118, 136, F4, 3, 44) (dual of [(136, 3), 290, 45]-NRT-code) | [i] | ||
| 8 | Linear OOA(4121, 137, F4, 3, 44) (dual of [(137, 3), 290, 45]-NRT-code) | [i] | ||
| 9 | Linear OOA(4101, 130, F4, 3, 44) (dual of [(130, 3), 289, 45]-NRT-code) | [i] | OOA Duplication | |
| 10 | Linear OOA(4123, 139, F4, 3, 44) (dual of [(139, 3), 294, 45]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(4124, 140, F4, 3, 44) (dual of [(140, 3), 296, 45]-NRT-code) | [i] | ||
| 12 | Linear OOA(4125, 144, F4, 3, 44) (dual of [(144, 3), 307, 45]-NRT-code) | [i] | ||
| 13 | Linear OOA(4126, 145, F4, 3, 44) (dual of [(145, 3), 309, 45]-NRT-code) | [i] | ||
| 14 | Linear OOA(4127, 147, F4, 3, 44) (dual of [(147, 3), 314, 45]-NRT-code) | [i] | ||
| 15 | Linear OOA(4129, 151, F4, 3, 44) (dual of [(151, 3), 324, 45]-NRT-code) | [i] | ||
| 16 | Linear OOA(4131, 152, F4, 3, 44) (dual of [(152, 3), 325, 45]-NRT-code) | [i] | ||