Information on Result #3002424
Linear OOA(2234, 115, F2, 8, 72) (dual of [(115, 8), 686, 73]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(2210, 112, F2, 8, 72) (dual of [(112, 8), 686, 73]-NRT-code), using
- extracting embedded OOA [i] based on digital (138, 210, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 105, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- trace code for nets [i] based on digital (33, 105, 56)-net 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(2235, 115, F2, 8, 72) (dual of [(115, 8), 685, 73]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2236, 115, F2, 8, 72) (dual of [(115, 8), 684, 73]-NRT-code) | [i] | ||
| 3 | Linear OOA(2237, 115, F2, 8, 72) (dual of [(115, 8), 683, 73]-NRT-code) | [i] | ||
| 4 | Linear OOA(2238, 115, F2, 8, 72) (dual of [(115, 8), 682, 73]-NRT-code) | [i] | ||
| 5 | Linear OOA(2239, 115, F2, 8, 72) (dual of [(115, 8), 681, 73]-NRT-code) | [i] | ||
| 6 | Linear OOA(2240, 115, F2, 8, 72) (dual of [(115, 8), 680, 73]-NRT-code) | [i] | ||
| 7 | Linear OOA(2241, 115, F2, 8, 72) (dual of [(115, 8), 679, 73]-NRT-code) | [i] | ||