Information on Result #1026394
Linear OOA(3215, 74, F3, 3, 164) (dual of [(74, 3), 7, 165]-NRT-code), using juxtaposition based on
- linear OOA(347, 18, F3, 3, 38) (dual of [(18, 3), 7, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(347, 19, F3, 3, 38) (dual of [(19, 3), 10, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,18P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
- discarding factors / shortening the dual code based on linear OOA(347, 19, F3, 3, 38) (dual of [(19, 3), 10, 39]-NRT-code), using
- linear OOA(3161, 56, F3, 3, 125) (dual of [(56, 3), 7, 126]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(377, 28, F3, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- repeating each code word 2 times [i] based on linear OOA(377, 28, F3, 3, 62) (dual of [(28, 3), 7, 63]-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(3215, 74, F3, 3, 163) (dual of [(74, 3), 7, 164]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3215, 74, F3, 3, 162) (dual of [(74, 3), 7, 163]-NRT-code) | [i] | ||
| 3 | Linear OOA(3215, 74, F3, 3, 161) (dual of [(74, 3), 7, 162]-NRT-code) | [i] | ||
| 4 | Linear OOA(3215, 74, F3, 3, 160) (dual of [(74, 3), 7, 161]-NRT-code) | [i] | ||
| 5 | Linear OOA(3215, 74, F3, 3, 159) (dual of [(74, 3), 7, 160]-NRT-code) | [i] | ||