Information on Result #1087230
Linear OOA(3247, 67, F3, 4, 180) (dual of [(67, 4), 21, 181]-NRT-code), using juxtaposition based on
- linear OOA(3103, 31, F3, 4, 82) (dual of [(31, 4), 21, 83]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3103, 32, F3, 4, 82) (dual of [(32, 4), 25, 83]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,45P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(3103, 32, F3, 4, 82) (dual of [(32, 4), 25, 83]-NRT-code), using
- linear OOA(3123, 36, F3, 4, 97) (dual of [(36, 4), 21, 98]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,46P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,23P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
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, 67, F3, 4, 179) (dual of [(67, 4), 21, 180]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3247, 67, F3, 4, 178) (dual of [(67, 4), 21, 179]-NRT-code) | [i] | ||
| 3 | Linear OOA(3247, 67, F3, 4, 177) (dual of [(67, 4), 21, 178]-NRT-code) | [i] | ||
| 4 | Linear OOA(3246, 66, F3, 4, 179) (dual of [(66, 4), 18, 180]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3245, 66, F3, 4, 178) (dual of [(66, 4), 19, 179]-NRT-code) | [i] | ||
| 6 | Linear OOA(3244, 66, F3, 4, 177) (dual of [(66, 4), 20, 178]-NRT-code) | [i] | ||
| 7 | Linear OOA(3243, 66, F3, 4, 176) (dual of [(66, 4), 21, 177]-NRT-code) | [i] | ||