Information on Result #1087589
Linear OOA(3198, 51, F3, 4, 165) (dual of [(51, 4), 6, 166]-NRT-code), using juxtaposition based on
- linear OOA(342, 12, F3, 4, 38) (dual of [(12, 4), 6, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,9P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- linear OOA(3150, 39, F3, 4, 126) (dual of [(39, 4), 6, 127]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(338, 11, F3, 4, 34) (dual of [(11, 4), 6, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(338, 12, F3, 4, 34) (dual of [(12, 4), 10, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,13P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12 (see above)
- discarding factors / shortening the dual code based on linear OOA(338, 12, F3, 4, 34) (dual of [(12, 4), 10, 35]-NRT-code), using
- linear OOA(3106, 28, F3, 4, 91) (dual of [(28, 4), 6, 92]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,20P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(338, 11, F3, 4, 34) (dual of [(11, 4), 6, 35]-NRT-code), using
- juxtaposition [i] based on
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(3198, 51, F3, 4, 164) (dual of [(51, 4), 6, 165]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3198, 51, F3, 4, 163) (dual of [(51, 4), 6, 164]-NRT-code) | [i] | ||
| 3 | Linear OOA(3198, 51, F3, 4, 162) (dual of [(51, 4), 6, 163]-NRT-code) | [i] | ||