Information on Result #1027660
Linear OOA(5126, 43, F5, 3, 114) (dual of [(43, 3), 3, 115]-NRT-code), using juxtaposition based on
- linear OOA(56, 3, F5, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(56, 5, F5, 3, 6) (dual of [(5, 3), 9, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;9,5) [i]
- discarding factors / shortening the dual code based on linear OOA(56, 5, F5, 3, 6) (dual of [(5, 3), 9, 7]-NRT-code), using
- linear OOA(5117, 40, F5, 3, 107) (dual of [(40, 3), 3, 108]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(527, 10, F5, 3, 26) (dual of [(10, 3), 3, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,3P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- repeating each code word 4 times [i] based on linear OOA(527, 10, F5, 3, 26) (dual of [(10, 3), 3, 27]-NRT-code), 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(5126, 43, F5, 3, 113) (dual of [(43, 3), 3, 114]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5126, 43, F5, 3, 112) (dual of [(43, 3), 3, 113]-NRT-code) | [i] | ||
| 3 | Linear OOA(5126, 43, F5, 3, 111) (dual of [(43, 3), 3, 112]-NRT-code) | [i] | ||
| 4 | Linear OOA(5126, 43, F5, 3, 110) (dual of [(43, 3), 3, 111]-NRT-code) | [i] | ||
| 5 | Linear OOA(5126, 43, F5, 3, 109) (dual of [(43, 3), 3, 110]-NRT-code) | [i] | ||