Information on Result #1084563
Linear OOA(3231, 81, F3, 4, 113) (dual of [(81, 4), 93, 114]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(352, 27, F3, 4, 37) (dual of [(27, 4), 56, 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, 27, F3, 4, 56) (dual of [(27, 4), 37, 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(3108, 27, F3, 4, 108) (dual of [(27, 4), 0, 109]-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(3231, 81, F3, 4, 112) (dual of [(81, 4), 93, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3231, 81, F3, 4, 111) (dual of [(81, 4), 93, 112]-NRT-code) | [i] | ||
| 3 | Linear OOA(3231, 81, F3, 4, 110) (dual of [(81, 4), 93, 111]-NRT-code) | [i] | ||
| 4 | Linear OOA(3232, 81, F3, 4, 113) (dual of [(81, 4), 92, 114]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3230, 80, F3, 4, 112) (dual of [(80, 4), 90, 113]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3229, 80, F3, 4, 111) (dual of [(80, 4), 91, 112]-NRT-code) | [i] | ||
| 7 | Linear OOA(3228, 80, F3, 4, 110) (dual of [(80, 4), 92, 111]-NRT-code) | [i] | ||
| 8 | Linear OOA(3227, 80, F3, 4, 109) (dual of [(80, 4), 93, 110]-NRT-code) | [i] | ||
| 9 | Linear OOA(3226, 79, F3, 4, 108) (dual of [(79, 4), 90, 109]-NRT-code) | [i] | ||