Information on Result #1087169
Linear OOA(3227, 63, F3, 4, 162) (dual of [(63, 4), 25, 163]-NRT-code), using juxtaposition based on
- linear OOA(383, 27, F3, 4, 68) (dual of [(27, 4), 25, 69]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(383, 28, F3, 4, 68) (dual of [(28, 4), 29, 69]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,43P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(383, 28, F3, 4, 68) (dual of [(28, 4), 29, 69]-NRT-code), using
- linear OOA(3119, 36, F3, 4, 93) (dual of [(36, 4), 25, 94]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,50P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,25P) 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(3227, 63, F3, 4, 161) (dual of [(63, 4), 25, 162]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3227, 63, F3, 4, 160) (dual of [(63, 4), 25, 161]-NRT-code) | [i] | ||
3 | Linear OOA(3227, 63, F3, 4, 159) (dual of [(63, 4), 25, 160]-NRT-code) | [i] | ||
4 | Linear OOA(3227, 63, F3, 4, 158) (dual of [(63, 4), 25, 159]-NRT-code) | [i] |