Information on Result #1110556
Linear OOA(2148, 66, F2, 5, 59) (dual of [(66, 5), 182, 60]-NRT-code), using extracting embedded OOA based on digital (89, 148, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 74, 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(2148, 66, F2, 5, 58) (dual of [(66, 5), 182, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2148, 66, F2, 5, 57) (dual of [(66, 5), 182, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(2153, 67, F2, 5, 59) (dual of [(67, 5), 182, 60]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2158, 68, F2, 5, 59) (dual of [(68, 5), 182, 60]-NRT-code) | [i] | ||
| 5 | Linear OOA(2163, 69, F2, 5, 59) (dual of [(69, 5), 182, 60]-NRT-code) | [i] | ||
| 6 | Linear OOA(2168, 70, F2, 5, 59) (dual of [(70, 5), 182, 60]-NRT-code) | [i] | ||
| 7 | Linear OOA(2173, 71, F2, 5, 59) (dual of [(71, 5), 182, 60]-NRT-code) | [i] | ||
| 8 | Linear OOA(2149, 66, F2, 5, 59) (dual of [(66, 5), 181, 60]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2151, 66, F2, 5, 59) (dual of [(66, 5), 179, 60]-NRT-code) | [i] | ||
| 10 | Linear OOA(2177, 72, F2, 5, 59) (dual of [(72, 5), 183, 60]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2180, 73, F2, 5, 59) (dual of [(73, 5), 185, 60]-NRT-code) | [i] | ||