Information on Result #1084562
Linear OOA(3227, 78, F3, 4, 113) (dual of [(78, 4), 85, 114]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(352, 26, F3, 4, 37) (dual of [(26, 4), 52, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(352, 28, F3, 4, 37) (dual of [(28, 4), 60, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,74P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(352, 28, F3, 4, 37) (dual of [(28, 4), 60, 38]-NRT-code), using
- linear OOA(371, 26, F3, 4, 56) (dual of [(26, 4), 33, 57]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(371, 28, F3, 4, 56) (dual of [(28, 4), 41, 57]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,55P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- discarding factors / shortening the dual code based on linear OOA(371, 28, F3, 4, 56) (dual of [(28, 4), 41, 57]-NRT-code), using
- linear OOA(3104, 26, F3, 4, 104) (dual of [(26, 4), 0, 105]-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(3227, 78, F3, 4, 112) (dual of [(78, 4), 85, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3227, 78, F3, 4, 111) (dual of [(78, 4), 85, 112]-NRT-code) | [i] | ||
| 3 | Linear OOA(3227, 78, F3, 4, 110) (dual of [(78, 4), 85, 111]-NRT-code) | [i] | ||
| 4 | Linear OOA(3228, 78, F3, 4, 113) (dual of [(78, 4), 84, 114]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3226, 77, F3, 4, 112) (dual of [(77, 4), 82, 113]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3225, 77, F3, 4, 111) (dual of [(77, 4), 83, 112]-NRT-code) | [i] | ||
| 7 | Linear OOA(3224, 77, F3, 4, 110) (dual of [(77, 4), 84, 111]-NRT-code) | [i] | ||
| 8 | Linear OOA(3223, 77, F3, 4, 109) (dual of [(77, 4), 85, 110]-NRT-code) | [i] | ||
| 9 | Linear OOA(3221, 76, F3, 4, 107) (dual of [(76, 4), 83, 108]-NRT-code) | [i] | ||