Information on Result #1174627
Linear OOA(2224, 112, F2, 8, 79) (dual of [(112, 8), 672, 80]-NRT-code), using extracting embedded OOA based on digital (145, 224, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 112, 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
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(2224, 112, F2, 8, 78) (dual of [(112, 8), 672, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2224, 112, F2, 8, 77) (dual of [(112, 8), 672, 78]-NRT-code) | [i] | ||
| 3 | Linear OOA(2224, 112, F2, 8, 76) (dual of [(112, 8), 672, 77]-NRT-code) | [i] | ||
| 4 | Linear OOA(2232, 113, F2, 8, 79) (dual of [(113, 8), 672, 80]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2240, 114, F2, 8, 79) (dual of [(114, 8), 672, 80]-NRT-code) | [i] | ||
| 6 | Linear OOA(2248, 115, F2, 8, 79) (dual of [(115, 8), 672, 80]-NRT-code) | [i] | ||
| 7 | Linear OOA(2225, 112, F2, 8, 79) (dual of [(112, 8), 671, 80]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2227, 112, F2, 8, 79) (dual of [(112, 8), 669, 80]-NRT-code) | [i] | ||
| 9 | Linear OOA(2229, 112, F2, 8, 79) (dual of [(112, 8), 667, 80]-NRT-code) | [i] | ||
| 10 | Linear OOA(2231, 112, F2, 8, 79) (dual of [(112, 8), 665, 80]-NRT-code) | [i] | ||