Information on Result #1084591
Linear OOA(3224, 78, F3, 4, 109) (dual of [(78, 4), 88, 110]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(351, 26, F3, 4, 36) (dual of [(26, 4), 53, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(351, 28, F3, 4, 36) (dual of [(28, 4), 61, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,75P) [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(351, 28, F3, 4, 36) (dual of [(28, 4), 61, 37]-NRT-code), using
- linear OOA(369, 26, F3, 4, 54) (dual of [(26, 4), 35, 55]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(369, 28, F3, 4, 54) (dual of [(28, 4), 43, 55]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,57P) [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(369, 28, F3, 4, 54) (dual of [(28, 4), 43, 55]-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(3224, 78, F3, 4, 108) (dual of [(78, 4), 88, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3224, 78, F3, 4, 107) (dual of [(78, 4), 88, 108]-NRT-code) | [i] | ||
| 3 | Linear OOA(3223, 77, F3, 4, 108) (dual of [(77, 4), 85, 109]-NRT-code) | [i] | Truncation for OOAs | |