Information on Result #1087126
Linear OOA(3239, 67, F3, 4, 164) (dual of [(67, 4), 29, 165]-NRT-code), using juxtaposition based on
- linear OOA(395, 31, F3, 4, 74) (dual of [(31, 4), 29, 75]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(395, 32, F3, 4, 74) (dual of [(32, 4), 33, 75]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,53P) [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(395, 32, F3, 4, 74) (dual of [(32, 4), 33, 75]-NRT-code), using
- linear OOA(3115, 36, F3, 4, 89) (dual of [(36, 4), 29, 90]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,54P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,27P) 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(3239, 67, F3, 4, 163) (dual of [(67, 4), 29, 164]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3239, 67, F3, 4, 162) (dual of [(67, 4), 29, 163]-NRT-code) | [i] | ||
3 | Linear OOA(3239, 67, F3, 4, 161) (dual of [(67, 4), 29, 162]-NRT-code) | [i] | ||
4 | Linear OOA(3239, 67, F3, 4, 160) (dual of [(67, 4), 29, 161]-NRT-code) | [i] | ||
5 | Linear OOA(3239, 67, F3, 4, 159) (dual of [(67, 4), 29, 160]-NRT-code) | [i] | ||
6 | Linear OOA(3239, 67, F3, 4, 158) (dual of [(67, 4), 29, 159]-NRT-code) | [i] | ||
7 | Linear OOA(3239, 67, F3, 4, 157) (dual of [(67, 4), 29, 158]-NRT-code) | [i] |