Information on Result #1140577
Linear OOA(2142, 66, F2, 6, 56) (dual of [(66, 6), 254, 57]-NRT-code), using extracting embedded OOA based on digital (86, 142, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 71, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-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(2142, 66, F2, 6, 55) (dual of [(66, 6), 254, 56]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2142, 66, F2, 6, 54) (dual of [(66, 6), 254, 55]-NRT-code) | [i] | ||
| 3 | Linear OOA(2148, 67, F2, 6, 56) (dual of [(67, 6), 254, 57]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2154, 68, F2, 6, 56) (dual of [(68, 6), 254, 57]-NRT-code) | [i] | ||
| 5 | Linear OOA(2160, 69, F2, 6, 56) (dual of [(69, 6), 254, 57]-NRT-code) | [i] | ||
| 6 | Linear OOA(2166, 70, F2, 6, 56) (dual of [(70, 6), 254, 57]-NRT-code) | [i] | ||
| 7 | Linear OOA(2143, 66, F2, 6, 56) (dual of [(66, 6), 253, 57]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2145, 66, F2, 6, 56) (dual of [(66, 6), 251, 57]-NRT-code) | [i] | ||
| 9 | Linear OOA(2147, 66, F2, 6, 56) (dual of [(66, 6), 249, 57]-NRT-code) | [i] | ||
| 10 | Linear OOA(2171, 71, F2, 6, 56) (dual of [(71, 6), 255, 57]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2172, 72, F2, 6, 56) (dual of [(72, 6), 260, 57]-NRT-code) | [i] | ||
| 12 | Linear OOA(2173, 73, F2, 6, 56) (dual of [(73, 6), 265, 57]-NRT-code) | [i] | ||
| 13 | Linear OOA(2174, 74, F2, 6, 56) (dual of [(74, 6), 270, 57]-NRT-code) | [i] | ||
| 14 | Linear OOA(2175, 75, F2, 6, 56) (dual of [(75, 6), 275, 57]-NRT-code) | [i] | ||