Information on Result #1026214
Linear OOA(3191, 67, F3, 3, 139) (dual of [(67, 3), 10, 140]-NRT-code), using juxtaposition based on
- linear OOA(323, 11, F3, 3, 19) (dual of [(11, 3), 10, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(323, 12, F3, 3, 19) (dual of [(12, 3), 13, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [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(323, 12, F3, 3, 19) (dual of [(12, 3), 13, 20]-NRT-code), using
- linear OOA(3158, 56, F3, 3, 119) (dual of [(56, 3), 10, 120]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(374, 28, F3, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,24P) [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(374, 28, F3, 3, 59) (dual of [(28, 3), 10, 60]-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(3191, 67, F3, 3, 138) (dual of [(67, 3), 10, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3191, 67, F3, 3, 137) (dual of [(67, 3), 10, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(3191, 67, F3, 3, 136) (dual of [(67, 3), 10, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(3191, 67, F3, 3, 135) (dual of [(67, 3), 10, 136]-NRT-code) | [i] | ||
| 5 | Linear OOA(3191, 67, F3, 3, 134) (dual of [(67, 3), 10, 135]-NRT-code) | [i] | ||