Information on Result #1084388
Linear OOA(3247, 75, F3, 4, 141) (dual of [(75, 4), 53, 142]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(362, 25, F3, 4, 47) (dual of [(25, 4), 38, 48]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(362, 28, F3, 4, 47) (dual of [(28, 4), 50, 48]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,64P) [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(362, 28, F3, 4, 47) (dual of [(28, 4), 50, 48]-NRT-code), using
- linear OOA(385, 25, F3, 4, 70) (dual of [(25, 4), 15, 71]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(385, 28, F3, 4, 70) (dual of [(28, 4), 27, 71]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,41P) [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(385, 28, F3, 4, 70) (dual of [(28, 4), 27, 71]-NRT-code), using
- linear OOA(3100, 25, F3, 4, 100) (dual of [(25, 4), 0, 101]-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(3247, 75, F3, 4, 140) (dual of [(75, 4), 53, 141]-NRT-code) | [i] | Strength Reduction for OOAs | |