Information on Result #1026358
Linear OOA(3188, 65, F3, 3, 143) (dual of [(65, 3), 7, 144]-NRT-code), using juxtaposition based on
- linear OOA(320, 9, F3, 3, 17) (dual of [(9, 3), 7, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, 10, F3, 3, 17) (dual of [(10, 3), 10, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F3 with g(F) = 3 and N(F) ≥ 10, using
- discarding factors / shortening the dual code based on linear OOA(320, 10, F3, 3, 17) (dual of [(10, 3), 10, 18]-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(3188, 65, F3, 3, 142) (dual of [(65, 3), 7, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3188, 65, F3, 3, 141) (dual of [(65, 3), 7, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(3188, 65, F3, 3, 140) (dual of [(65, 3), 7, 141]-NRT-code) | [i] | ||