Information on Result #1157507
Linear OOA(2146, 66, F2, 7, 58) (dual of [(66, 7), 316, 59]-NRT-code), using extracting embedded OOA based on digital (88, 146, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 73, 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(2146, 66, F2, 7, 57) (dual of [(66, 7), 316, 58]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2146, 66, F2, 7, 56) (dual of [(66, 7), 316, 57]-NRT-code) | [i] | ||
| 3 | Linear OOA(2146, 66, F2, 7, 55) (dual of [(66, 7), 316, 56]-NRT-code) | [i] | ||
| 4 | Linear OOA(2153, 67, F2, 7, 58) (dual of [(67, 7), 316, 59]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2147, 66, F2, 7, 58) (dual of [(66, 7), 315, 59]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2149, 66, F2, 7, 58) (dual of [(66, 7), 313, 59]-NRT-code) | [i] | ||
| 7 | Linear OOA(2151, 66, F2, 7, 58) (dual of [(66, 7), 311, 59]-NRT-code) | [i] | ||
| 8 | Linear OOA(2176, 71, F2, 7, 58) (dual of [(71, 7), 321, 59]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(2177, 72, F2, 7, 58) (dual of [(72, 7), 327, 59]-NRT-code) | [i] | ||
| 10 | Linear OOA(2178, 73, F2, 7, 58) (dual of [(73, 7), 333, 59]-NRT-code) | [i] | ||
| 11 | Linear OOA(2179, 74, F2, 7, 58) (dual of [(74, 7), 339, 59]-NRT-code) | [i] | ||