Information on Result #1075412
Linear OOA(2196, 260, F2, 4, 43) (dual of [(260, 4), 844, 44]-NRT-code), using extracting embedded OOA based on digital (153, 196, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 49, 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(2200, 261, F2, 4, 43) (dual of [(261, 4), 844, 44]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2204, 262, F2, 4, 43) (dual of [(262, 4), 844, 44]-NRT-code) | [i] | ||
| 3 | Linear OOA(2208, 263, F2, 4, 43) (dual of [(263, 4), 844, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(2212, 264, F2, 4, 43) (dual of [(264, 4), 844, 44]-NRT-code) | [i] | ||
| 5 | Linear OOA(2197, 260, F2, 4, 43) (dual of [(260, 4), 843, 44]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2198, 260, F2, 4, 43) (dual of [(260, 4), 842, 44]-NRT-code) | [i] | ||
| 7 | Linear OOA(2199, 260, F2, 4, 43) (dual of [(260, 4), 841, 44]-NRT-code) | [i] | ||
| 8 | Linear OOA(2228, 274, F2, 4, 43) (dual of [(274, 4), 868, 44]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(2196, 130, F2, 7, 43) (dual of [(130, 7), 714, 44]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2196, 130, F2, 8, 43) (dual of [(130, 8), 844, 44]-NRT-code) | [i] | ||