Information on Result #1026173
Linear OOA(3190, 67, F3, 3, 136) (dual of [(67, 3), 11, 137]-NRT-code), using juxtaposition based on
- linear OOA(322, 11, F3, 3, 18) (dual of [(11, 3), 11, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(322, 12, F3, 3, 18) (dual of [(12, 3), 14, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,17P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- discarding factors / shortening the dual code based on linear OOA(322, 12, F3, 3, 18) (dual of [(12, 3), 14, 19]-NRT-code), using
- linear OOA(3157, 56, F3, 3, 117) (dual of [(56, 3), 11, 118]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(373, 28, F3, 3, 58) (dual of [(28, 3), 11, 59]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,25P) [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(373, 28, F3, 3, 58) (dual of [(28, 3), 11, 59]-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(3190, 67, F3, 3, 135) (dual of [(67, 3), 11, 136]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3190, 67, F3, 3, 134) (dual of [(67, 3), 11, 135]-NRT-code) | [i] | ||
| 3 | Linear OOA(3190, 67, F3, 3, 133) (dual of [(67, 3), 11, 134]-NRT-code) | [i] | ||
| 4 | Linear OOA(3190, 67, F3, 3, 132) (dual of [(67, 3), 11, 133]-NRT-code) | [i] | ||
| 5 | Linear OOA(3190, 67, F3, 3, 131) (dual of [(67, 3), 11, 132]-NRT-code) | [i] | ||